Spasić, Aleksandar

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850c3d49-c67e-4414-94e3-0d89129ed6d2
  • Spasić, Aleksandar (16)
  • Spasić, Aleksandar M. (7)
Projects

Author's Bibliography

Uloga statističkih evaluatora i njihova primena kod analize tačnosti segmentiranih medicinskih snimaka

Šokac, Mario; Budak, Igor; Santoši, Željko; Spasić, Aleksandar; Jakovljević, Živana

(2017)

TY  - CONF
AU  - Šokac, Mario
AU  - Budak, Igor
AU  - Santoši, Željko
AU  - Spasić, Aleksandar
AU  - Jakovljević, Živana
PY  - 2017
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/5229
AB  - Neosporna je uloga i primena medicinskih snimaka u današnjoj oblasti medicine i stomatologije    jer je na osnovu njih moguće izvršiti tačnu dijagnozu kod pacijenata. Međutim, primenom savremenih    uređaja za akviziciju ovih snimaka, mogu se pojaviti određene anomalije u vidu artefakata na    medicinskim simcima. Uporedo sa ovim problemom, razvijale su se i metode za obradu medicinskih    snimaka. Kako bi se verifikovala njihova primena i dokazala uspešnost njihove primene, tako su se    razvijale i mnoge metode i evaluatori za analizu i statističku obradu ovih snimaka. U ovom radu biće    prikazane neke od najčešće primenjivanih statističkih metoda i evaluatora koji se koriste kod analize    medicinskih snimaka.
C3  - ETIKUM 2017, Zbornik radova
T1  - Uloga statističkih evaluatora i njihova primena kod analize tačnosti segmentiranih medicinskih snimaka
EP  - 156
SP  - 153
UR  - https://hdl.handle.net/21.15107/rcub_machinery_5229
ER  - 
@conference{
author = "Šokac, Mario and Budak, Igor and Santoši, Željko and Spasić, Aleksandar and Jakovljević, Živana",
year = "2017",
abstract = "Neosporna je uloga i primena medicinskih snimaka u današnjoj oblasti medicine i stomatologije    jer je na osnovu njih moguće izvršiti tačnu dijagnozu kod pacijenata. Međutim, primenom savremenih    uređaja za akviziciju ovih snimaka, mogu se pojaviti određene anomalije u vidu artefakata na    medicinskim simcima. Uporedo sa ovim problemom, razvijale su se i metode za obradu medicinskih    snimaka. Kako bi se verifikovala njihova primena i dokazala uspešnost njihove primene, tako su se    razvijale i mnoge metode i evaluatori za analizu i statističku obradu ovih snimaka. U ovom radu biće    prikazane neke od najčešće primenjivanih statističkih metoda i evaluatora koji se koriste kod analize    medicinskih snimaka.",
journal = "ETIKUM 2017, Zbornik radova",
title = "Uloga statističkih evaluatora i njihova primena kod analize tačnosti segmentiranih medicinskih snimaka",
pages = "156-153",
url = "https://hdl.handle.net/21.15107/rcub_machinery_5229"
}
Šokac, M., Budak, I., Santoši, Ž., Spasić, A.,& Jakovljević, Ž.. (2017). Uloga statističkih evaluatora i njihova primena kod analize tačnosti segmentiranih medicinskih snimaka. in ETIKUM 2017, Zbornik radova, 153-156.
https://hdl.handle.net/21.15107/rcub_machinery_5229
Šokac M, Budak I, Santoši Ž, Spasić A, Jakovljević Ž. Uloga statističkih evaluatora i njihova primena kod analize tačnosti segmentiranih medicinskih snimaka. in ETIKUM 2017, Zbornik radova. 2017;:153-156.
https://hdl.handle.net/21.15107/rcub_machinery_5229 .
Šokac, Mario, Budak, Igor, Santoši, Željko, Spasić, Aleksandar, Jakovljević, Živana, "Uloga statističkih evaluatora i njihova primena kod analize tačnosti segmentiranih medicinskih snimaka" in ETIKUM 2017, Zbornik radova (2017):153-156,
https://hdl.handle.net/21.15107/rcub_machinery_5229 .

PIalphaDbeta feedback type control of expansion turbine e in the liquid air cryogenic production process

Lazarević, Mihailo; Bučanović, Ljubiša; Spasić, Aleksandar

(Prague: Czech society of chemical engineering, 2010)

TY  - CONF
AU  - Lazarević, Mihailo
AU  - Bučanović, Ljubiša
AU  - Spasić, Aleksandar
PY  - 2010
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/4992
AB  - The paper presents a new algorithm of control for the cryogenic production process of
technical gases. Cryogenics is the science and technology dealing with temperatures less than
120 K, although this summary does not adhere to a strict 120 K definition. New way to the
technical production of liquid air was introduced by C. Linde at the end of the nineteenth
century [1]. The successful simple and economical production of liquid air may be achieved
using the reversing heat exchangers, where damping from the higher down to the lower
pressure occurs. Production of liquid air at low pressure was first introduced in 1938 by the
Russian academician P. L. Kapica and includes production of liquid air at pressure
p2 = 6 ¸-7 bar and then its expansion in the gas turbine. Moreover, the expansion turbine in
the process of liquid air production was used for expansion of the air from the thermodynamic
state P (Pp,Tp)  to the state  K( (Pk,Tk=lowering when the air temperature decrease from Tp to
Tk and the pressure decrease from Pp to Pk . When the cold air expands in the turbine then the
heat losses arise due to the heat exchange with the environment. The amount of air that
expands in the gas turbine does not exceed 25% of the overall usable air [1, 2].
For application in the synthesis of control, input temperature, and the flow of air
expansion turbine, it is necessary to determine the appropriate linear parts of differential
equations of the building guidance as well as the procedural object in these differential
equations. These equations describe the work guidance part of the building which consists of
positionbody, pneumatic amplifier (booster volume), the pneumatic motor and work process,
i.e. the appropriate equation of state and output are given.
In recent years, fractional calculus has been applied in the modeling and control of various
kinds of physical systems, as it is well known and documented in many control theories or in
the literature data [3]. The fractional integro-differential operators-(fractional calculus) are a
generalization of integration and derivation to non-integer order (fractional) operators.
Recently, published results [4, 5] indicate that the use of a fractional-order PID controller can
improve both the stability and performance robustness of feedback control systems.
In this paper, a fractional order PID controller ( PIalpha Dbeta ) is used to control the production
process of technical gases. The objective of this work is to find out optimum settings for a fractional PIalpha Dbeta controller in order to fulfill different design specifications for the closed-loop system, taking advantage of the fractional orders, alpha and beta . Also, problem of discretization of proposed PIalpha Dbeta will be treated as a key step in digital implementation. This difficulty arises from the mathematical nature of fractional operators, which demand hard requirements of processors memory and velocity capacities.
PB  - Prague:  Czech society  of chemical engineering
C3  - Proceedings of 19th International Congress of Chemical and Process Engineering CHISA 2010 and the 7th European Congress of Chemical Engineering ECCE-7 ,Prague, Czech Republic on 28 August - 1 September 2010.
T1  - PIalphaDbeta feedback type control of expansion turbine e in the liquid air cryogenic production process
EP  - 2
SP  - 1
UR  - https://hdl.handle.net/21.15107/rcub_machinery_4992
ER  - 
@conference{
author = "Lazarević, Mihailo and Bučanović, Ljubiša and Spasić, Aleksandar",
year = "2010",
abstract = "The paper presents a new algorithm of control for the cryogenic production process of
technical gases. Cryogenics is the science and technology dealing with temperatures less than
120 K, although this summary does not adhere to a strict 120 K definition. New way to the
technical production of liquid air was introduced by C. Linde at the end of the nineteenth
century [1]. The successful simple and economical production of liquid air may be achieved
using the reversing heat exchangers, where damping from the higher down to the lower
pressure occurs. Production of liquid air at low pressure was first introduced in 1938 by the
Russian academician P. L. Kapica and includes production of liquid air at pressure
p2 = 6 ¸-7 bar and then its expansion in the gas turbine. Moreover, the expansion turbine in
the process of liquid air production was used for expansion of the air from the thermodynamic
state P (Pp,Tp)  to the state  K( (Pk,Tk=lowering when the air temperature decrease from Tp to
Tk and the pressure decrease from Pp to Pk . When the cold air expands in the turbine then the
heat losses arise due to the heat exchange with the environment. The amount of air that
expands in the gas turbine does not exceed 25% of the overall usable air [1, 2].
For application in the synthesis of control, input temperature, and the flow of air
expansion turbine, it is necessary to determine the appropriate linear parts of differential
equations of the building guidance as well as the procedural object in these differential
equations. These equations describe the work guidance part of the building which consists of
positionbody, pneumatic amplifier (booster volume), the pneumatic motor and work process,
i.e. the appropriate equation of state and output are given.
In recent years, fractional calculus has been applied in the modeling and control of various
kinds of physical systems, as it is well known and documented in many control theories or in
the literature data [3]. The fractional integro-differential operators-(fractional calculus) are a
generalization of integration and derivation to non-integer order (fractional) operators.
Recently, published results [4, 5] indicate that the use of a fractional-order PID controller can
improve both the stability and performance robustness of feedback control systems.
In this paper, a fractional order PID controller ( PIalpha Dbeta ) is used to control the production
process of technical gases. The objective of this work is to find out optimum settings for a fractional PIalpha Dbeta controller in order to fulfill different design specifications for the closed-loop system, taking advantage of the fractional orders, alpha and beta . Also, problem of discretization of proposed PIalpha Dbeta will be treated as a key step in digital implementation. This difficulty arises from the mathematical nature of fractional operators, which demand hard requirements of processors memory and velocity capacities.",
publisher = "Prague:  Czech society  of chemical engineering",
journal = "Proceedings of 19th International Congress of Chemical and Process Engineering CHISA 2010 and the 7th European Congress of Chemical Engineering ECCE-7 ,Prague, Czech Republic on 28 August - 1 September 2010.",
title = "PIalphaDbeta feedback type control of expansion turbine e in the liquid air cryogenic production process",
pages = "2-1",
url = "https://hdl.handle.net/21.15107/rcub_machinery_4992"
}
Lazarević, M., Bučanović, L.,& Spasić, A.. (2010). PIalphaDbeta feedback type control of expansion turbine e in the liquid air cryogenic production process. in Proceedings of 19th International Congress of Chemical and Process Engineering CHISA 2010 and the 7th European Congress of Chemical Engineering ECCE-7 ,Prague, Czech Republic on 28 August - 1 September 2010.
Prague:  Czech society  of chemical engineering., 1-2.
https://hdl.handle.net/21.15107/rcub_machinery_4992
Lazarević M, Bučanović L, Spasić A. PIalphaDbeta feedback type control of expansion turbine e in the liquid air cryogenic production process. in Proceedings of 19th International Congress of Chemical and Process Engineering CHISA 2010 and the 7th European Congress of Chemical Engineering ECCE-7 ,Prague, Czech Republic on 28 August - 1 September 2010.. 2010;:1-2.
https://hdl.handle.net/21.15107/rcub_machinery_4992 .
Lazarević, Mihailo, Bučanović, Ljubiša, Spasić, Aleksandar, "PIalphaDbeta feedback type control of expansion turbine e in the liquid air cryogenic production process" in Proceedings of 19th International Congress of Chemical and Process Engineering CHISA 2010 and the 7th European Congress of Chemical Engineering ECCE-7 ,Prague, Czech Republic on 28 August - 1 September 2010. (2010):1-2,
https://hdl.handle.net/21.15107/rcub_machinery_4992 .

Contribution to finite time stability analysis of nonlinear fractional order time delay systems: Bellman-Gronwall approach

Lazarević, Mihailo; Bučanović, Ljubiša; Spasić, Aleksandar

(Prague: Czech society of chemical engineering, 2010)

TY  - CONF
AU  - Lazarević, Mihailo
AU  - Bučanović, Ljubiša
AU  - Spasić, Aleksandar
PY  - 2010
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/4993
AB  - In this paper, new stability criteria for this class of fractional order systems were derived by
applying generalized Gronwall inequality where robust finite-time stability analysis for a
class of perturbed nonlinear fractional order systems with time invariant delay was
considered. Sufficient conditions of this kind of stability are obtained for previously
considered fractional differential system given in state space form. In that way, one can check
system stability over finite time interval.
PB  - Prague:  Czech society  of chemical engineering
C3  - Proceedings of 19th International Congress of Chemical and Process Engineering CHISA 2010 and the 7th European Congress of Chemical Engineering ECCE-7 ,Prague, Czech Republic on 28 August - 1 September 2010.
T1  - Contribution to finite time stability analysis of nonlinear fractional order time delay systems: Bellman-Gronwall approach
EP  - 15
SP  - 1
UR  - https://hdl.handle.net/21.15107/rcub_machinery_4993
ER  - 
@conference{
author = "Lazarević, Mihailo and Bučanović, Ljubiša and Spasić, Aleksandar",
year = "2010",
abstract = "In this paper, new stability criteria for this class of fractional order systems were derived by
applying generalized Gronwall inequality where robust finite-time stability analysis for a
class of perturbed nonlinear fractional order systems with time invariant delay was
considered. Sufficient conditions of this kind of stability are obtained for previously
considered fractional differential system given in state space form. In that way, one can check
system stability over finite time interval.",
publisher = "Prague:  Czech society  of chemical engineering",
journal = "Proceedings of 19th International Congress of Chemical and Process Engineering CHISA 2010 and the 7th European Congress of Chemical Engineering ECCE-7 ,Prague, Czech Republic on 28 August - 1 September 2010.",
title = "Contribution to finite time stability analysis of nonlinear fractional order time delay systems: Bellman-Gronwall approach",
pages = "15-1",
url = "https://hdl.handle.net/21.15107/rcub_machinery_4993"
}
Lazarević, M., Bučanović, L.,& Spasić, A.. (2010). Contribution to finite time stability analysis of nonlinear fractional order time delay systems: Bellman-Gronwall approach. in Proceedings of 19th International Congress of Chemical and Process Engineering CHISA 2010 and the 7th European Congress of Chemical Engineering ECCE-7 ,Prague, Czech Republic on 28 August - 1 September 2010.
Prague:  Czech society  of chemical engineering., 1-15.
https://hdl.handle.net/21.15107/rcub_machinery_4993
Lazarević M, Bučanović L, Spasić A. Contribution to finite time stability analysis of nonlinear fractional order time delay systems: Bellman-Gronwall approach. in Proceedings of 19th International Congress of Chemical and Process Engineering CHISA 2010 and the 7th European Congress of Chemical Engineering ECCE-7 ,Prague, Czech Republic on 28 August - 1 September 2010.. 2010;:1-15.
https://hdl.handle.net/21.15107/rcub_machinery_4993 .
Lazarević, Mihailo, Bučanović, Ljubiša, Spasić, Aleksandar, "Contribution to finite time stability analysis of nonlinear fractional order time delay systems: Bellman-Gronwall approach" in Proceedings of 19th International Congress of Chemical and Process Engineering CHISA 2010 and the 7th European Congress of Chemical Engineering ECCE-7 ,Prague, Czech Republic on 28 August - 1 September 2010. (2010):1-15,
https://hdl.handle.net/21.15107/rcub_machinery_4993 .

Fractional order Van der Pol model of electroviscoelasticity of liquid/liquid interfaces: analytical and numerical solution

Lazarević, Mihailo; Spasić, Aleksandar; Bučanović, Ljubiša

(Mathematical Society of South-Eastern Europe, 2009)

TY  - CONF
AU  - Lazarević, Mihailo
AU  - Spasić, Aleksandar
AU  - Bučanović, Ljubiša
PY  - 2009
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/6601
AB  - A new, recently developed, theory of electroviscoelasticity describes the behavior of electrified liquid-liquid interfaces in fine dispersed systems, and is based on a new constitutive model of liquids. Three possible mathematical formalisms have been considered related to this physical formalism, i.e to the theory of electroviscoelasticity: the first is tension tensor model, the second is Van del Pol derivative model and the third model is Van der pol derivative model of non-integer (fractional) order. The fractional integro-differential operators –(fractional calculus) is a generalization of integration and derivation to non-integer order (fractional) operators. Fractional derivatives/integrals provide an excellent instrument for the description of memory and heretidary properties of various materials and processes and, also obtaining more degrees of freedom in the model. In this paper, central parts of presentation will be solution using Caputo definition of fractional operators to obtain a (non)homogeneuos solution of a (nonlinear) equation of Van der Pol of non-integer order where it willbwe discussed a cases of the  (alpha,beta) order, variable order approach alpha=alpha(t) and generalized differential transforms method. Finally, it is proposed adequate algorithms using a predictor-corrector approach and approximations of fractional derivatives/integrals.
PB  - Mathematical Society of South-Eastern Europe
PB  - Union of Mathematicans of Macedonia
C3  - Book of abstracts MASSEE Int Congress on Mathematics MICOM2009, Sept. 16-20 2009, Ohrid, Macedonia
T1  - Fractional order Van der Pol model of electroviscoelasticity of liquid/liquid interfaces: analytical and numerical solution
EP  - 63
SP  - 63
UR  - https://hdl.handle.net/21.15107/rcub_machinery_6601
ER  - 
@conference{
author = "Lazarević, Mihailo and Spasić, Aleksandar and Bučanović, Ljubiša",
year = "2009",
abstract = "A new, recently developed, theory of electroviscoelasticity describes the behavior of electrified liquid-liquid interfaces in fine dispersed systems, and is based on a new constitutive model of liquids. Three possible mathematical formalisms have been considered related to this physical formalism, i.e to the theory of electroviscoelasticity: the first is tension tensor model, the second is Van del Pol derivative model and the third model is Van der pol derivative model of non-integer (fractional) order. The fractional integro-differential operators –(fractional calculus) is a generalization of integration and derivation to non-integer order (fractional) operators. Fractional derivatives/integrals provide an excellent instrument for the description of memory and heretidary properties of various materials and processes and, also obtaining more degrees of freedom in the model. In this paper, central parts of presentation will be solution using Caputo definition of fractional operators to obtain a (non)homogeneuos solution of a (nonlinear) equation of Van der Pol of non-integer order where it willbwe discussed a cases of the  (alpha,beta) order, variable order approach alpha=alpha(t) and generalized differential transforms method. Finally, it is proposed adequate algorithms using a predictor-corrector approach and approximations of fractional derivatives/integrals.",
publisher = "Mathematical Society of South-Eastern Europe, Union of Mathematicans of Macedonia",
journal = "Book of abstracts MASSEE Int Congress on Mathematics MICOM2009, Sept. 16-20 2009, Ohrid, Macedonia",
title = "Fractional order Van der Pol model of electroviscoelasticity of liquid/liquid interfaces: analytical and numerical solution",
pages = "63-63",
url = "https://hdl.handle.net/21.15107/rcub_machinery_6601"
}
Lazarević, M., Spasić, A.,& Bučanović, L.. (2009). Fractional order Van der Pol model of electroviscoelasticity of liquid/liquid interfaces: analytical and numerical solution. in Book of abstracts MASSEE Int Congress on Mathematics MICOM2009, Sept. 16-20 2009, Ohrid, Macedonia
Mathematical Society of South-Eastern Europe., 63-63.
https://hdl.handle.net/21.15107/rcub_machinery_6601
Lazarević M, Spasić A, Bučanović L. Fractional order Van der Pol model of electroviscoelasticity of liquid/liquid interfaces: analytical and numerical solution. in Book of abstracts MASSEE Int Congress on Mathematics MICOM2009, Sept. 16-20 2009, Ohrid, Macedonia. 2009;:63-63.
https://hdl.handle.net/21.15107/rcub_machinery_6601 .
Lazarević, Mihailo, Spasić, Aleksandar, Bučanović, Ljubiša, "Fractional order Van der Pol model of electroviscoelasticity of liquid/liquid interfaces: analytical and numerical solution" in Book of abstracts MASSEE Int Congress on Mathematics MICOM2009, Sept. 16-20 2009, Ohrid, Macedonia (2009):63-63,
https://hdl.handle.net/21.15107/rcub_machinery_6601 .

Colloid electrohydrodynamics

Spasić, Aleksandar M.; Lazarević, Mihailo; Mitrović, Milan V.; Krstić, Dimitrije N.

(Savez hemijskih inženjera, Beograd, 2009)

TY  - JOUR
AU  - Spasić, Aleksandar M.
AU  - Lazarević, Mihailo
AU  - Mitrović, Milan V.
AU  - Krstić, Dimitrije N.
PY  - 2009
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/974
AB  - This brief extracted review presents the recent development in basic and applied science and engineering of finely dispersed particles and related systems in general, but more profound and in-depth treatise are related to the liquid-liquid finely dispersed systems, i.e. emulsions and double emulsions. Twenty-five years ago, the idea, at first very fogy, came out from the pilot plant experiments related to the extraction Of uranium from wet phosphoric acid. In particular the solution of the entrainment problems, breaking of emulsions/double emulsions, as the succession of the extraction and stripping operations/processes, was performed In this pilot plant, secondary liquid-liquid phase separation loop was designed and carried out. The loop consisted of a lamellar coalescer and four flotation cells in series. Central equipment in the loop, relevant to this investigation, was the lamellar coalescer. The phase separation in this equipment is based on the action of external forces of mechanical and/or electrical origin, while adhesive processes at the inclined filling plates occur. Since many of related processes, e.g. adhesive processes, rupture processes and coalescence, were not very well understood, deeper research of these events and phenomena was a real scientific challenge.
PB  - Savez hemijskih inženjera, Beograd
T2  - Hemijska Industrija
T1  - Colloid electrohydrodynamics
EP  - 527
IS  - 5
SP  - 511
VL  - 63
DO  - 10.2298/HEMIND0905511S
ER  - 
@article{
author = "Spasić, Aleksandar M. and Lazarević, Mihailo and Mitrović, Milan V. and Krstić, Dimitrije N.",
year = "2009",
abstract = "This brief extracted review presents the recent development in basic and applied science and engineering of finely dispersed particles and related systems in general, but more profound and in-depth treatise are related to the liquid-liquid finely dispersed systems, i.e. emulsions and double emulsions. Twenty-five years ago, the idea, at first very fogy, came out from the pilot plant experiments related to the extraction Of uranium from wet phosphoric acid. In particular the solution of the entrainment problems, breaking of emulsions/double emulsions, as the succession of the extraction and stripping operations/processes, was performed In this pilot plant, secondary liquid-liquid phase separation loop was designed and carried out. The loop consisted of a lamellar coalescer and four flotation cells in series. Central equipment in the loop, relevant to this investigation, was the lamellar coalescer. The phase separation in this equipment is based on the action of external forces of mechanical and/or electrical origin, while adhesive processes at the inclined filling plates occur. Since many of related processes, e.g. adhesive processes, rupture processes and coalescence, were not very well understood, deeper research of these events and phenomena was a real scientific challenge.",
publisher = "Savez hemijskih inženjera, Beograd",
journal = "Hemijska Industrija",
title = "Colloid electrohydrodynamics",
pages = "527-511",
number = "5",
volume = "63",
doi = "10.2298/HEMIND0905511S"
}
Spasić, A. M., Lazarević, M., Mitrović, M. V.,& Krstić, D. N.. (2009). Colloid electrohydrodynamics. in Hemijska Industrija
Savez hemijskih inženjera, Beograd., 63(5), 511-527.
https://doi.org/10.2298/HEMIND0905511S
Spasić AM, Lazarević M, Mitrović MV, Krstić DN. Colloid electrohydrodynamics. in Hemijska Industrija. 2009;63(5):511-527.
doi:10.2298/HEMIND0905511S .
Spasić, Aleksandar M., Lazarević, Mihailo, Mitrović, Milan V., Krstić, Dimitrije N., "Colloid electrohydrodynamics" in Hemijska Industrija, 63, no. 5 (2009):511-527,
https://doi.org/10.2298/HEMIND0905511S . .
1
6

Finite-time stability analysis of fractional order time-delay systems: Gronwall's approach

Lazarević, Mihailo; Spasić, Aleksandar M.

(Pergamon-Elsevier Science Ltd, Oxford, 2009)

TY  - JOUR
AU  - Lazarević, Mihailo
AU  - Spasić, Aleksandar M.
PY  - 2009
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/959
AB  - In this paper, a stability test procedure is proposed for linear nonhomogeneous fractional order systems with a pure time delay. Some basic results from the area of finite time and practical stability are extended to linear, continuous, fractional order time-delay systems given in state-space form. Sufficient conditions of this kind of stability are derived for particular class of fractional time-delay systems. A numerical example is given to illustrate the validity of the proposed procedure.
PB  - Pergamon-Elsevier Science Ltd, Oxford
T2  - Mathematical and Computer Modelling
T1  - Finite-time stability analysis of fractional order time-delay systems: Gronwall's approach
EP  - 481
IS  - 3-4
SP  - 475
VL  - 49
DO  - 10.1016/j.mcm.2008.09.011
ER  - 
@article{
author = "Lazarević, Mihailo and Spasić, Aleksandar M.",
year = "2009",
abstract = "In this paper, a stability test procedure is proposed for linear nonhomogeneous fractional order systems with a pure time delay. Some basic results from the area of finite time and practical stability are extended to linear, continuous, fractional order time-delay systems given in state-space form. Sufficient conditions of this kind of stability are derived for particular class of fractional time-delay systems. A numerical example is given to illustrate the validity of the proposed procedure.",
publisher = "Pergamon-Elsevier Science Ltd, Oxford",
journal = "Mathematical and Computer Modelling",
title = "Finite-time stability analysis of fractional order time-delay systems: Gronwall's approach",
pages = "481-475",
number = "3-4",
volume = "49",
doi = "10.1016/j.mcm.2008.09.011"
}
Lazarević, M.,& Spasić, A. M.. (2009). Finite-time stability analysis of fractional order time-delay systems: Gronwall's approach. in Mathematical and Computer Modelling
Pergamon-Elsevier Science Ltd, Oxford., 49(3-4), 475-481.
https://doi.org/10.1016/j.mcm.2008.09.011
Lazarević M, Spasić AM. Finite-time stability analysis of fractional order time-delay systems: Gronwall's approach. in Mathematical and Computer Modelling. 2009;49(3-4):475-481.
doi:10.1016/j.mcm.2008.09.011 .
Lazarević, Mihailo, Spasić, Aleksandar M., "Finite-time stability analysis of fractional order time-delay systems: Gronwall's approach" in Mathematical and Computer Modelling, 49, no. 3-4 (2009):475-481,
https://doi.org/10.1016/j.mcm.2008.09.011 . .
270
149
295

Iterative learning feedback control algorithms of PIalpha Dbeta type in process control systems

Lazarević, Mihailo; Spasić, Aleksandar; Bučanović, Ljubiša; Krsitć, Dimitrije

(Prague: Czech society of chemical engineering, 2008)

TY  - CONF
AU  - Lazarević, Mihailo
AU  - Spasić, Aleksandar
AU  - Bučanović, Ljubiša
AU  - Krsitć, Dimitrije
PY  - 2008
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/5220
AB  - In this paper, a PIalphaD beta type of iterative learning feedback control is proposed for class -
fractional linear time invariant system. The learning control scheme comprises two types of
control laws: a PDalpha feedback law and a PIalphaDbeta feed-forward control law.A sufficient
condition for convergence of a proposed ILC will be given by the theorem and proved.Using
feedback loop, the PDalpha controller provides better stability of the system and keeps its state
errors within uniform bounds.
PB  - Prague:  Czech society  of chemical engineering
C3  - Proceedings of  18th International Congress of Chemical and Process Engineering 24th - 28th August 2008, Prague - Czech Republic
T1  - Iterative learning feedback control algorithms of PIalpha Dbeta type in process control systems
EP  - 8
SP  - 1
UR  - https://hdl.handle.net/21.15107/rcub_machinery_5220
ER  - 
@conference{
author = "Lazarević, Mihailo and Spasić, Aleksandar and Bučanović, Ljubiša and Krsitć, Dimitrije",
year = "2008",
abstract = "In this paper, a PIalphaD beta type of iterative learning feedback control is proposed for class -
fractional linear time invariant system. The learning control scheme comprises two types of
control laws: a PDalpha feedback law and a PIalphaDbeta feed-forward control law.A sufficient
condition for convergence of a proposed ILC will be given by the theorem and proved.Using
feedback loop, the PDalpha controller provides better stability of the system and keeps its state
errors within uniform bounds.",
publisher = "Prague:  Czech society  of chemical engineering",
journal = "Proceedings of  18th International Congress of Chemical and Process Engineering 24th - 28th August 2008, Prague - Czech Republic",
title = "Iterative learning feedback control algorithms of PIalpha Dbeta type in process control systems",
pages = "8-1",
url = "https://hdl.handle.net/21.15107/rcub_machinery_5220"
}
Lazarević, M., Spasić, A., Bučanović, L.,& Krsitć, D.. (2008). Iterative learning feedback control algorithms of PIalpha Dbeta type in process control systems. in Proceedings of  18th International Congress of Chemical and Process Engineering 24th - 28th August 2008, Prague - Czech Republic
Prague:  Czech society  of chemical engineering., 1-8.
https://hdl.handle.net/21.15107/rcub_machinery_5220
Lazarević M, Spasić A, Bučanović L, Krsitć D. Iterative learning feedback control algorithms of PIalpha Dbeta type in process control systems. in Proceedings of  18th International Congress of Chemical and Process Engineering 24th - 28th August 2008, Prague - Czech Republic. 2008;:1-8.
https://hdl.handle.net/21.15107/rcub_machinery_5220 .
Lazarević, Mihailo, Spasić, Aleksandar, Bučanović, Ljubiša, Krsitć, Dimitrije, "Iterative learning feedback control algorithms of PIalpha Dbeta type in process control systems" in Proceedings of  18th International Congress of Chemical and Process Engineering 24th - 28th August 2008, Prague - Czech Republic (2008):1-8,
https://hdl.handle.net/21.15107/rcub_machinery_5220 .

Application of fractional calculus to the electroviscoelastic behaviour of liquid/liquid interfaces

Lazarević, Mihailo; Spasić, Aleksandar; Bučanović, Ljubiša; Krstić, Dimitrije

(Prague: Czech society of chemical engineering, 2008)

TY  - CONF
AU  - Lazarević, Mihailo
AU  - Spasić, Aleksandar
AU  - Bučanović, Ljubiša
AU  - Krstić, Dimitrije
PY  - 2008
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/5183
AB  - Using fractional-order alpha  (0,1) , capacitive and inductive elements one can obtain linear
and/or nonlinear fractional integral-differential equation of the van der Pol type, i.e. more
generalized mathematical formalism for description of the electroviscoelastic behavior of
liquid/liquid interfaces e.g. in finely dispersed systems, emulsions or double emulsions. First,
in this paper, it is obtained nonlinear van der Pol model applying (alpha,beta ) order and variable
order approach, alpha =alpha (t) . Also,it is proposed applying generalized differential transform
method using Caputo definition of fractional operators to obtain a analytical homogeneous
solution of a linear equation of van der Pol model of non-integer order. Finally, it is proposed
numerical algorithm using approximation of Caputo derivative for calculating the corresponding
homogeneous solution of linear fractional differential equation of the van der Pol type.
PB  - Prague:  Czech society  of chemical engineering
C3  - Proceedings of  18th International Congress of Chemical and Process Engineering 24th - 28th August 2008, Prague - Czech Republic
T1  - Application of fractional calculus to the electroviscoelastic behaviour of liquid/liquid interfaces
EP  - 9
SP  - 1
UR  - https://hdl.handle.net/21.15107/rcub_machinery_5183
ER  - 
@conference{
author = "Lazarević, Mihailo and Spasić, Aleksandar and Bučanović, Ljubiša and Krstić, Dimitrije",
year = "2008",
abstract = "Using fractional-order alpha  (0,1) , capacitive and inductive elements one can obtain linear
and/or nonlinear fractional integral-differential equation of the van der Pol type, i.e. more
generalized mathematical formalism for description of the electroviscoelastic behavior of
liquid/liquid interfaces e.g. in finely dispersed systems, emulsions or double emulsions. First,
in this paper, it is obtained nonlinear van der Pol model applying (alpha,beta ) order and variable
order approach, alpha =alpha (t) . Also,it is proposed applying generalized differential transform
method using Caputo definition of fractional operators to obtain a analytical homogeneous
solution of a linear equation of van der Pol model of non-integer order. Finally, it is proposed
numerical algorithm using approximation of Caputo derivative for calculating the corresponding
homogeneous solution of linear fractional differential equation of the van der Pol type.",
publisher = "Prague:  Czech society  of chemical engineering",
journal = "Proceedings of  18th International Congress of Chemical and Process Engineering 24th - 28th August 2008, Prague - Czech Republic",
title = "Application of fractional calculus to the electroviscoelastic behaviour of liquid/liquid interfaces",
pages = "9-1",
url = "https://hdl.handle.net/21.15107/rcub_machinery_5183"
}
Lazarević, M., Spasić, A., Bučanović, L.,& Krstić, D.. (2008). Application of fractional calculus to the electroviscoelastic behaviour of liquid/liquid interfaces. in Proceedings of  18th International Congress of Chemical and Process Engineering 24th - 28th August 2008, Prague - Czech Republic
Prague:  Czech society  of chemical engineering., 1-9.
https://hdl.handle.net/21.15107/rcub_machinery_5183
Lazarević M, Spasić A, Bučanović L, Krstić D. Application of fractional calculus to the electroviscoelastic behaviour of liquid/liquid interfaces. in Proceedings of  18th International Congress of Chemical and Process Engineering 24th - 28th August 2008, Prague - Czech Republic. 2008;:1-9.
https://hdl.handle.net/21.15107/rcub_machinery_5183 .
Lazarević, Mihailo, Spasić, Aleksandar, Bučanović, Ljubiša, Krstić, Dimitrije, "Application of fractional calculus to the electroviscoelastic behaviour of liquid/liquid interfaces" in Proceedings of  18th International Congress of Chemical and Process Engineering 24th - 28th August 2008, Prague - Czech Republic (2008):1-9,
https://hdl.handle.net/21.15107/rcub_machinery_5183 .

Electroviscoelasticity of Liquid/Liquid Interfaces: Fractional Order Van der Pol Model – New Results

Lazarević, Mihailo; Spasić, Aleksandar

(Belgrade: Serbian Society of Mechanics, 2007)

TY  - CONF
AU  - Lazarević, Mihailo
AU  - Spasić, Aleksandar
PY  - 2007
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/5330
AB  - A new, recently developed, theory of electroviscoelasticity describes the behavior of electrified liquid-liquid interfaces in fine dispersed systems, and is based on a new constitutive model of liquids. The behavior of e.g., liquid/liquid interfaces is based on three forms of «instabilities», these are rigid,elastic and plastic. Three possible mathematical formalisms have been considered related to this physical formalism,i.e. to the theory of electroviscoelasticity: the first is tension tensor model, the second is Van der Pol derivative model and  the third model is fractional order Van der Pol derivative model. The third model presents an effort to generalize the previous Van der Pol equation using fractional integro-differential operators (fractional calculus). 
       In this paper, central parts of  presentation will be  solution using Caputo definition of fractional operators to obtain a (non)homogeneous solution of a (nonlinear)/linearized equation of fractional order Van der Pol model that represents the initial electromagnetic oscillation at the electroviscoelastic liquid/liquid interface.Specially, it will be discussed a case of low fractionality i.e the order of fractional derivative p slightly deviates from an integer  value n. Finally, it is proposed numerical algorithm using a predictor-corrector approach for calculating corresponding homogeneous solution of nonlinear differential equation of the Van der Pol type.
PB  - Belgrade: Serbian Society of Mechanics
C3  - Proceedings of 1st International Congress of Serbian Society of Mechanics,10- 13, April,Kopaonik, 2007
T1  - Electroviscoelasticity of Liquid/Liquid Interfaces: Fractional Order Van der Pol Model – New Results
EP  - 118
SP  - 109
UR  - https://hdl.handle.net/21.15107/rcub_machinery_5330
ER  - 
@conference{
author = "Lazarević, Mihailo and Spasić, Aleksandar",
year = "2007",
abstract = "A new, recently developed, theory of electroviscoelasticity describes the behavior of electrified liquid-liquid interfaces in fine dispersed systems, and is based on a new constitutive model of liquids. The behavior of e.g., liquid/liquid interfaces is based on three forms of «instabilities», these are rigid,elastic and plastic. Three possible mathematical formalisms have been considered related to this physical formalism,i.e. to the theory of electroviscoelasticity: the first is tension tensor model, the second is Van der Pol derivative model and  the third model is fractional order Van der Pol derivative model. The third model presents an effort to generalize the previous Van der Pol equation using fractional integro-differential operators (fractional calculus). 
       In this paper, central parts of  presentation will be  solution using Caputo definition of fractional operators to obtain a (non)homogeneous solution of a (nonlinear)/linearized equation of fractional order Van der Pol model that represents the initial electromagnetic oscillation at the electroviscoelastic liquid/liquid interface.Specially, it will be discussed a case of low fractionality i.e the order of fractional derivative p slightly deviates from an integer  value n. Finally, it is proposed numerical algorithm using a predictor-corrector approach for calculating corresponding homogeneous solution of nonlinear differential equation of the Van der Pol type.",
publisher = "Belgrade: Serbian Society of Mechanics",
journal = "Proceedings of 1st International Congress of Serbian Society of Mechanics,10- 13, April,Kopaonik, 2007",
title = "Electroviscoelasticity of Liquid/Liquid Interfaces: Fractional Order Van der Pol Model – New Results",
pages = "118-109",
url = "https://hdl.handle.net/21.15107/rcub_machinery_5330"
}
Lazarević, M.,& Spasić, A.. (2007). Electroviscoelasticity of Liquid/Liquid Interfaces: Fractional Order Van der Pol Model – New Results. in Proceedings of 1st International Congress of Serbian Society of Mechanics,10- 13, April,Kopaonik, 2007
Belgrade: Serbian Society of Mechanics., 109-118.
https://hdl.handle.net/21.15107/rcub_machinery_5330
Lazarević M, Spasić A. Electroviscoelasticity of Liquid/Liquid Interfaces: Fractional Order Van der Pol Model – New Results. in Proceedings of 1st International Congress of Serbian Society of Mechanics,10- 13, April,Kopaonik, 2007. 2007;:109-118.
https://hdl.handle.net/21.15107/rcub_machinery_5330 .
Lazarević, Mihailo, Spasić, Aleksandar, "Electroviscoelasticity of Liquid/Liquid Interfaces: Fractional Order Van der Pol Model – New Results" in Proceedings of 1st International Congress of Serbian Society of Mechanics,10- 13, April,Kopaonik, 2007 (2007):109-118,
https://hdl.handle.net/21.15107/rcub_machinery_5330 .

A new approach to the phenomena at the interfaces of finely dispersed systems

Spasić, Aleksandar M.; Lazarević, Mihailo

(Academic Press Inc Elsevier Science, San Diego, 2007)

TY  - JOUR
AU  - Spasić, Aleksandar M.
AU  - Lazarević, Mihailo
PY  - 2007
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/719
AB  - A new idea has been applied for the elucidation of the electron and momentum transfer phenomena, at both rigid and deformable interfaces, in finely (micro-, nano-, atto-) dispersed systems. The electroviscoelastic behavior of, e.g., liquid/liquid interfaces (emulsions and double emulsions), is based on three forms of "instabilities"; these are rigid, elastic, and plastic. The events are understood as interactions between the internal (immanent) and external (incident) periodical physical fields. Since the events at the interfaces of finely dispersed systems must be considered at the molecular, atomic, and/or entities level it is inevitable to introduce the electron transfer phenomenon beside the classical heat, mass, and momentum transfer phenomena commonly used in chemical engineering. Therefore, an entity can be defined as the smallest indivisible element of matter that is related to the particular transfer phenomena. Hence, the entity can be either differential element of mass/demon, ion, phonon as quanta of acoustic energy, infon as quanta of information, photon, and electron. Three possible mathematical formalisms have been derived and discussed related to this physical formalism, i.e., to the developed theory of electroviscoelasticity. The first is the stretching tensor model, where the normal and tangential forces are considered, only in mathematical formalism, regardless of their origin (mechanical and/or electrical). The second is the classical integer-order van der Pol derivative model. Finally, the third model comprises an effort to generalize the previous van der Pol differential equations, both linear and nonlinear, where the ordinary time derivatives and integrals are replaced by corresponding fractional-order time derivatives and integrals of order p  lt  2 (p = n-delta, n = 1, 2, delta  lt  lt  1). In order to justify and corroborate a more general approach the obtained calculated results were compared to those experimentally measured using the representative liquid/liquid system.
PB  - Academic Press Inc Elsevier Science, San Diego
T2  - Journal of Colloid and Interface Science
T1  - A new approach to the phenomena at the interfaces of finely dispersed systems
EP  - 995
IS  - 2
SP  - 984
VL  - 316
DO  - 10.1016/j.jcis.2007.07.051
ER  - 
@article{
author = "Spasić, Aleksandar M. and Lazarević, Mihailo",
year = "2007",
abstract = "A new idea has been applied for the elucidation of the electron and momentum transfer phenomena, at both rigid and deformable interfaces, in finely (micro-, nano-, atto-) dispersed systems. The electroviscoelastic behavior of, e.g., liquid/liquid interfaces (emulsions and double emulsions), is based on three forms of "instabilities"; these are rigid, elastic, and plastic. The events are understood as interactions between the internal (immanent) and external (incident) periodical physical fields. Since the events at the interfaces of finely dispersed systems must be considered at the molecular, atomic, and/or entities level it is inevitable to introduce the electron transfer phenomenon beside the classical heat, mass, and momentum transfer phenomena commonly used in chemical engineering. Therefore, an entity can be defined as the smallest indivisible element of matter that is related to the particular transfer phenomena. Hence, the entity can be either differential element of mass/demon, ion, phonon as quanta of acoustic energy, infon as quanta of information, photon, and electron. Three possible mathematical formalisms have been derived and discussed related to this physical formalism, i.e., to the developed theory of electroviscoelasticity. The first is the stretching tensor model, where the normal and tangential forces are considered, only in mathematical formalism, regardless of their origin (mechanical and/or electrical). The second is the classical integer-order van der Pol derivative model. Finally, the third model comprises an effort to generalize the previous van der Pol differential equations, both linear and nonlinear, where the ordinary time derivatives and integrals are replaced by corresponding fractional-order time derivatives and integrals of order p  lt  2 (p = n-delta, n = 1, 2, delta  lt  lt  1). In order to justify and corroborate a more general approach the obtained calculated results were compared to those experimentally measured using the representative liquid/liquid system.",
publisher = "Academic Press Inc Elsevier Science, San Diego",
journal = "Journal of Colloid and Interface Science",
title = "A new approach to the phenomena at the interfaces of finely dispersed systems",
pages = "995-984",
number = "2",
volume = "316",
doi = "10.1016/j.jcis.2007.07.051"
}
Spasić, A. M.,& Lazarević, M.. (2007). A new approach to the phenomena at the interfaces of finely dispersed systems. in Journal of Colloid and Interface Science
Academic Press Inc Elsevier Science, San Diego., 316(2), 984-995.
https://doi.org/10.1016/j.jcis.2007.07.051
Spasić AM, Lazarević M. A new approach to the phenomena at the interfaces of finely dispersed systems. in Journal of Colloid and Interface Science. 2007;316(2):984-995.
doi:10.1016/j.jcis.2007.07.051 .
Spasić, Aleksandar M., Lazarević, Mihailo, "A new approach to the phenomena at the interfaces of finely dispersed systems" in Journal of Colloid and Interface Science, 316, no. 2 (2007):984-995,
https://doi.org/10.1016/j.jcis.2007.07.051 . .
6
6
9

Electroviscoelasticity of liquid/liquid interfaces: Fractional order van der Pol model -nonlinear and linearized case

Lazarević, Mihailo; Spasić, Aleksandar M.; Krstić, Dimitrije N.

(2006)

TY  - CONF
AU  - Lazarević, Mihailo
AU  - Spasić, Aleksandar M.
AU  - Krstić, Dimitrije N.
PY  - 2006
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/558
AB  - A number of theories that describe the behavior of liquid-liquid interfaces have been developed and applied to various dispersed systems e.g., Stokes, Reiner-Rivelin, Ericksen, Einstein, Smoluchowski, Kinch. A new, recently developed, theory of electroviscoelasticity describes the behavior of electrified liquid-liquid interfaces in fine dispersed systems, and is based on a new constitutive model of liquids. Up to day, there are three possible mathematical formalisms discussed related to the theory of electroviscoelasticity. The first is tension tensor model where the normal and tangential forces are considered, only in mathematical formalism, regardless of their origin (mechanical and/or electrical). The second is van der Pol derivative model presented by the linear and non-linear differential equations. Finally, the third model presents an effort to generalize the previous van der Pol equation, i.e. the ordinary time derivatives and integrals are now replaced with corresponding fractional-order time derivatives and integrals of order p  lt  1. Central parts of this paper are: proposed algorithm, using suitable numerical method, to obtain a homogeneous solution of a previous nonlinear equation of van der Pol type, and numerical solution of linearized fractional equation of the van der Pol type, using Grunwald definition of fractional differ-integral forms.
C3  - CHISA 2006 - 17th International Congress of Chemical and Process Engineering
T1  - Electroviscoelasticity of liquid/liquid interfaces: Fractional order van der Pol model -nonlinear and linearized case
UR  - https://hdl.handle.net/21.15107/rcub_machinery_558
ER  - 
@conference{
author = "Lazarević, Mihailo and Spasić, Aleksandar M. and Krstić, Dimitrije N.",
year = "2006",
abstract = "A number of theories that describe the behavior of liquid-liquid interfaces have been developed and applied to various dispersed systems e.g., Stokes, Reiner-Rivelin, Ericksen, Einstein, Smoluchowski, Kinch. A new, recently developed, theory of electroviscoelasticity describes the behavior of electrified liquid-liquid interfaces in fine dispersed systems, and is based on a new constitutive model of liquids. Up to day, there are three possible mathematical formalisms discussed related to the theory of electroviscoelasticity. The first is tension tensor model where the normal and tangential forces are considered, only in mathematical formalism, regardless of their origin (mechanical and/or electrical). The second is van der Pol derivative model presented by the linear and non-linear differential equations. Finally, the third model presents an effort to generalize the previous van der Pol equation, i.e. the ordinary time derivatives and integrals are now replaced with corresponding fractional-order time derivatives and integrals of order p  lt  1. Central parts of this paper are: proposed algorithm, using suitable numerical method, to obtain a homogeneous solution of a previous nonlinear equation of van der Pol type, and numerical solution of linearized fractional equation of the van der Pol type, using Grunwald definition of fractional differ-integral forms.",
journal = "CHISA 2006 - 17th International Congress of Chemical and Process Engineering",
title = "Electroviscoelasticity of liquid/liquid interfaces: Fractional order van der Pol model -nonlinear and linearized case",
url = "https://hdl.handle.net/21.15107/rcub_machinery_558"
}
Lazarević, M., Spasić, A. M.,& Krstić, D. N.. (2006). Electroviscoelasticity of liquid/liquid interfaces: Fractional order van der Pol model -nonlinear and linearized case. in CHISA 2006 - 17th International Congress of Chemical and Process Engineering.
https://hdl.handle.net/21.15107/rcub_machinery_558
Lazarević M, Spasić AM, Krstić DN. Electroviscoelasticity of liquid/liquid interfaces: Fractional order van der Pol model -nonlinear and linearized case. in CHISA 2006 - 17th International Congress of Chemical and Process Engineering. 2006;.
https://hdl.handle.net/21.15107/rcub_machinery_558 .
Lazarević, Mihailo, Spasić, Aleksandar M., Krstić, Dimitrije N., "Electroviscoelasticity of liquid/liquid interfaces: Fractional order van der Pol model -nonlinear and linearized case" in CHISA 2006 - 17th International Congress of Chemical and Process Engineering (2006),
https://hdl.handle.net/21.15107/rcub_machinery_558 .
2

Theory of electroviscoelasticity

Spasić, Aleksandar; Lazarević, Mihailo; Krstić, Dimitrije

(CRC Press Taylor & Francis Group, 2006)

TY  - CHAP
AU  - Spasić, Aleksandar
AU  - Lazarević, Mihailo
AU  - Krstić, Dimitrije
PY  - 2006
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/6749
AB  - So far, three possible mathematical formalisms have been discussed related to the developed theory of electroviscoelasticity. The first is tension tensor model where the normal and tangential forces are considered regardless, only from mathematical point of view, of their origin (mechanical or electrical). The second is van der Pol integral-derivative model. Finally, the third model presents an effort to generalize the van der Pol integral–differential equation; the ordinary time derivative and integral are now replaced with corresponding fractional-order time derivative and integral of order 0 , p , 1. Each of these mathematical formalisms, although related to the same physical formalism, facilitate a better understanding of different aspects of a droplet existence (formation, life, and destruction).  Tension tensor model discusses the force equilibrium at the interfaces, either deformable or  rigid, but its solution is difficult because the tensor contain nonlinear and complex elements.  van der Pol derivative model is convenient for discussion of the antenna output circuit, the
resulting equivalent electrical circuit; but in the case of nonlinear oscillators, that is here the realistic  one, the problem of determining the noise output is complicated by the fact that the output is fed  back into the system, thus modifying the effective noise input in a complicated manner. The noise output appears as an induced anisotropic effect.
The theory of electroviscoelasticity using fractional approach constitutes a new interdisciplinary approach to colloid and interface science. Hence, (1) more degrees of freedom are in the model, (2) memory storage considerations and hereditary properties are included in the model, and (3) history or impact to the present and future is in the game.
PB  - CRC Press Taylor & Francis Group
T2  - Finely Dispersed Particles:Micro-,Nano-,and Atto-Engineering
T1  - Theory of electroviscoelasticity
EP  - 393
SP  - 371
UR  - https://hdl.handle.net/21.15107/rcub_machinery_6749
ER  - 
@inbook{
author = "Spasić, Aleksandar and Lazarević, Mihailo and Krstić, Dimitrije",
year = "2006",
abstract = "So far, three possible mathematical formalisms have been discussed related to the developed theory of electroviscoelasticity. The first is tension tensor model where the normal and tangential forces are considered regardless, only from mathematical point of view, of their origin (mechanical or electrical). The second is van der Pol integral-derivative model. Finally, the third model presents an effort to generalize the van der Pol integral–differential equation; the ordinary time derivative and integral are now replaced with corresponding fractional-order time derivative and integral of order 0 , p , 1. Each of these mathematical formalisms, although related to the same physical formalism, facilitate a better understanding of different aspects of a droplet existence (formation, life, and destruction).  Tension tensor model discusses the force equilibrium at the interfaces, either deformable or  rigid, but its solution is difficult because the tensor contain nonlinear and complex elements.  van der Pol derivative model is convenient for discussion of the antenna output circuit, the
resulting equivalent electrical circuit; but in the case of nonlinear oscillators, that is here the realistic  one, the problem of determining the noise output is complicated by the fact that the output is fed  back into the system, thus modifying the effective noise input in a complicated manner. The noise output appears as an induced anisotropic effect.
The theory of electroviscoelasticity using fractional approach constitutes a new interdisciplinary approach to colloid and interface science. Hence, (1) more degrees of freedom are in the model, (2) memory storage considerations and hereditary properties are included in the model, and (3) history or impact to the present and future is in the game.",
publisher = "CRC Press Taylor & Francis Group",
journal = "Finely Dispersed Particles:Micro-,Nano-,and Atto-Engineering",
booktitle = "Theory of electroviscoelasticity",
pages = "393-371",
url = "https://hdl.handle.net/21.15107/rcub_machinery_6749"
}
Spasić, A., Lazarević, M.,& Krstić, D.. (2006). Theory of electroviscoelasticity. in Finely Dispersed Particles:Micro-,Nano-,and Atto-Engineering
CRC Press Taylor & Francis Group., 371-393.
https://hdl.handle.net/21.15107/rcub_machinery_6749
Spasić A, Lazarević M, Krstić D. Theory of electroviscoelasticity. in Finely Dispersed Particles:Micro-,Nano-,and Atto-Engineering. 2006;:371-393.
https://hdl.handle.net/21.15107/rcub_machinery_6749 .
Spasić, Aleksandar, Lazarević, Mihailo, Krstić, Dimitrije, "Theory of electroviscoelasticity" in Finely Dispersed Particles:Micro-,Nano-,and Atto-Engineering (2006):371-393,
https://hdl.handle.net/21.15107/rcub_machinery_6749 .

Fractional calculus in application to theory of electroviscoelasticity

Lazarević, Mihailo; Spasić, Aleksandar

(Univerzitet u Novom Sadu Građevinski fakultet Subotica, 2006)

TY  - CONF
AU  - Lazarević, Mihailo
AU  - Spasić, Aleksandar
PY  - 2006
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/5348
AB  - In this paper it is presented a new theory of electroviscoelasticity which describes the
behavior of electrified liquid-liquid interfaces in fine dispersed systems. It is based on a
new constitutive model of liquids: fractional order model (generalized the Van der Pol
equation) with corresponding fractional-order time derivative and integral of order p <
1,linear and nonlinear case.
PB  - Univerzitet u Novom Sadu Građevinski fakultet Subotica
C3  - Zbornik radova Gradjevinskog fakulteta- Medjunarodne konferencije Savremeni problemi u gradjevinarstvu,  Subotica, Jun, 2006
T1  - Fractional calculus in application to theory of electroviscoelasticity
EP  - 6
SP  - 1
UR  - https://hdl.handle.net/21.15107/rcub_machinery_5348
ER  - 
@conference{
author = "Lazarević, Mihailo and Spasić, Aleksandar",
year = "2006",
abstract = "In this paper it is presented a new theory of electroviscoelasticity which describes the
behavior of electrified liquid-liquid interfaces in fine dispersed systems. It is based on a
new constitutive model of liquids: fractional order model (generalized the Van der Pol
equation) with corresponding fractional-order time derivative and integral of order p <
1,linear and nonlinear case.",
publisher = "Univerzitet u Novom Sadu Građevinski fakultet Subotica",
journal = "Zbornik radova Gradjevinskog fakulteta- Medjunarodne konferencije Savremeni problemi u gradjevinarstvu,  Subotica, Jun, 2006",
title = "Fractional calculus in application to theory of electroviscoelasticity",
pages = "6-1",
url = "https://hdl.handle.net/21.15107/rcub_machinery_5348"
}
Lazarević, M.,& Spasić, A.. (2006). Fractional calculus in application to theory of electroviscoelasticity. in Zbornik radova Gradjevinskog fakulteta- Medjunarodne konferencije Savremeni problemi u gradjevinarstvu,  Subotica, Jun, 2006
Univerzitet u Novom Sadu Građevinski fakultet Subotica., 1-6.
https://hdl.handle.net/21.15107/rcub_machinery_5348
Lazarević M, Spasić A. Fractional calculus in application to theory of electroviscoelasticity. in Zbornik radova Gradjevinskog fakulteta- Medjunarodne konferencije Savremeni problemi u gradjevinarstvu,  Subotica, Jun, 2006. 2006;:1-6.
https://hdl.handle.net/21.15107/rcub_machinery_5348 .
Lazarević, Mihailo, Spasić, Aleksandar, "Fractional calculus in application to theory of electroviscoelasticity" in Zbornik radova Gradjevinskog fakulteta- Medjunarodne konferencije Savremeni problemi u gradjevinarstvu,  Subotica, Jun, 2006 (2006):1-6,
https://hdl.handle.net/21.15107/rcub_machinery_5348 .

Fenomeni prenosa elektrona i količine kretanja na razvijenim deformabilnim i rigidnim međupovršinama tečno-tečno

Spasić, Aleksandar M.; Lazarević, Mihailo; Mitrović, Milan V.; Krstić, Dimitrije N.

(Savez hemijskih inženjera, Beograd, 2006)

TY  - JOUR
AU  - Spasić, Aleksandar M.
AU  - Lazarević, Mihailo
AU  - Mitrović, Milan V.
AU  - Krstić, Dimitrije N.
PY  - 2006
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/660
AB  - Primenjena je nova ideja za rasvetljavanje fenomena prenosa elektrona i količine kretanja na razvijenim, deformabilnim i rigidnim, međupovršinama u finim (mikro, nano, ato) disperznim sistemima. Ponašanje elektroviskoelastičnih fluida, na primer međupovršina tečno-tečno (emulzije dvostruke emulzije) se predstavlja u tri stanja/"nestabilnosti", rigidno elastično i plastično. Relevantni događaji na međupovršinama se posmatraju kao interakcije unutrašnjih (imanentnih) i spoljašnjih (incidentnih) periodičnih fizičkih polja. Pored fenomena prenosa količine kretanja toplote i mase, koji se koriste u hemijskom inženjerstvu, za posmatranja na nivou molekula, atoma i/ili entiteta neophodno je uvesti i fenomen prenosa elektrona. Za postulirani fizički formalizam, teoriju elektroviskoelastičnosti, izvedena su tri matematička formalizma. U prvom modelu posmatra se delovanje normalnih i tangencijalnih sila, samo u matematičkom smislu, bez obzira na njihovo poreklo (mehaničko i/ili električno). Drugi model je integro-diferencijalna jednačina tipa van der Pol. Treći model predstavlja generalizaciju modela van der Pol za oba slučaja, linearni i nelinearni, integrali i diferencijali reda celih brojeva su zamenjeni integralima i diferencijalima reda izlomljenih brojeva. Predstavljeni modeli i teorija omogućavaju dublje razumevanje: problema zahvatanja u ekstrakciji tečno-tečno, događaja na razvijenim međupovršinama u nauci o koloidima i međupovršinama, hemijskih i biohemijskih senzora elektroanalitičkih metoda, biologije/biomedicine (hematiologije, genetike elektroneurofiziologije).
AB  - A new idea was applied for the elucidation of the electron and momentum transfer phenomena at both rigid and deformable interfaces in finely (micro nano, atto) dispersed systems. The electroviscoelastic behavior of e.g. liquid/liquid interfaces (emulsions and double emulsions) is based on three forms of "instabilities"; these are rigid, elastic, and plastic. The events are understood as interactions between internal (immanent) and external (incident) periodical physical fields. Since the events at the interfaces of finely dispersed systems must be considered at the molecular, atomic, and/or entities level, it is inevitable to introduce the electron transfer phenomenon beside the classical heat, mass and momentum transfer phenomena commonly used in chemical engineering. Three possible mathematical formalisms have been derived related to this physical formalism, i.e. to the developed theory of electroviscoelasticity. The first is tension tensor model, where the normal and tangential forces are considered, only in mathematical formalism, regardless to their origin (mechanical and/or electrical). The second is van der Pol derivative model. Finally, the third model comprise an effort to generalize the previous van der Pol differential equations, both, linear and nonlinear; the ordinary time derivatives and integrals are now replaced by corresponding fractional-order time derivatives and integrals of order p  lt  1. Both, the presented model and theory can facilitate the understanding of entrainment problems in solvent extraction, developed interfaces in colloid and interface science, chemical and biological sensors, electro analytical methods, biology/biomedicine (hematology, genetics and electroneuro-physiology).
PB  - Savez hemijskih inženjera, Beograd
T2  - Chemical Industry and Chemical Engineering Quarterly
T1  - Fenomeni prenosa elektrona i količine kretanja na razvijenim deformabilnim i rigidnim međupovršinama tečno-tečno
T1  - Electron and momentum transfer phenomena at developed deformable and rigid liquid-liquid interfaces
EP  - 132
IS  - 2
SP  - 123
VL  - 12
DO  - 10.2298/CICEQ0602123S
ER  - 
@article{
author = "Spasić, Aleksandar M. and Lazarević, Mihailo and Mitrović, Milan V. and Krstić, Dimitrije N.",
year = "2006",
abstract = "Primenjena je nova ideja za rasvetljavanje fenomena prenosa elektrona i količine kretanja na razvijenim, deformabilnim i rigidnim, međupovršinama u finim (mikro, nano, ato) disperznim sistemima. Ponašanje elektroviskoelastičnih fluida, na primer međupovršina tečno-tečno (emulzije dvostruke emulzije) se predstavlja u tri stanja/"nestabilnosti", rigidno elastično i plastično. Relevantni događaji na međupovršinama se posmatraju kao interakcije unutrašnjih (imanentnih) i spoljašnjih (incidentnih) periodičnih fizičkih polja. Pored fenomena prenosa količine kretanja toplote i mase, koji se koriste u hemijskom inženjerstvu, za posmatranja na nivou molekula, atoma i/ili entiteta neophodno je uvesti i fenomen prenosa elektrona. Za postulirani fizički formalizam, teoriju elektroviskoelastičnosti, izvedena su tri matematička formalizma. U prvom modelu posmatra se delovanje normalnih i tangencijalnih sila, samo u matematičkom smislu, bez obzira na njihovo poreklo (mehaničko i/ili električno). Drugi model je integro-diferencijalna jednačina tipa van der Pol. Treći model predstavlja generalizaciju modela van der Pol za oba slučaja, linearni i nelinearni, integrali i diferencijali reda celih brojeva su zamenjeni integralima i diferencijalima reda izlomljenih brojeva. Predstavljeni modeli i teorija omogućavaju dublje razumevanje: problema zahvatanja u ekstrakciji tečno-tečno, događaja na razvijenim međupovršinama u nauci o koloidima i međupovršinama, hemijskih i biohemijskih senzora elektroanalitičkih metoda, biologije/biomedicine (hematiologije, genetike elektroneurofiziologije)., A new idea was applied for the elucidation of the electron and momentum transfer phenomena at both rigid and deformable interfaces in finely (micro nano, atto) dispersed systems. The electroviscoelastic behavior of e.g. liquid/liquid interfaces (emulsions and double emulsions) is based on three forms of "instabilities"; these are rigid, elastic, and plastic. The events are understood as interactions between internal (immanent) and external (incident) periodical physical fields. Since the events at the interfaces of finely dispersed systems must be considered at the molecular, atomic, and/or entities level, it is inevitable to introduce the electron transfer phenomenon beside the classical heat, mass and momentum transfer phenomena commonly used in chemical engineering. Three possible mathematical formalisms have been derived related to this physical formalism, i.e. to the developed theory of electroviscoelasticity. The first is tension tensor model, where the normal and tangential forces are considered, only in mathematical formalism, regardless to their origin (mechanical and/or electrical). The second is van der Pol derivative model. Finally, the third model comprise an effort to generalize the previous van der Pol differential equations, both, linear and nonlinear; the ordinary time derivatives and integrals are now replaced by corresponding fractional-order time derivatives and integrals of order p  lt  1. Both, the presented model and theory can facilitate the understanding of entrainment problems in solvent extraction, developed interfaces in colloid and interface science, chemical and biological sensors, electro analytical methods, biology/biomedicine (hematology, genetics and electroneuro-physiology).",
publisher = "Savez hemijskih inženjera, Beograd",
journal = "Chemical Industry and Chemical Engineering Quarterly",
title = "Fenomeni prenosa elektrona i količine kretanja na razvijenim deformabilnim i rigidnim međupovršinama tečno-tečno, Electron and momentum transfer phenomena at developed deformable and rigid liquid-liquid interfaces",
pages = "132-123",
number = "2",
volume = "12",
doi = "10.2298/CICEQ0602123S"
}
Spasić, A. M., Lazarević, M., Mitrović, M. V.,& Krstić, D. N.. (2006). Fenomeni prenosa elektrona i količine kretanja na razvijenim deformabilnim i rigidnim međupovršinama tečno-tečno. in Chemical Industry and Chemical Engineering Quarterly
Savez hemijskih inženjera, Beograd., 12(2), 123-132.
https://doi.org/10.2298/CICEQ0602123S
Spasić AM, Lazarević M, Mitrović MV, Krstić DN. Fenomeni prenosa elektrona i količine kretanja na razvijenim deformabilnim i rigidnim međupovršinama tečno-tečno. in Chemical Industry and Chemical Engineering Quarterly. 2006;12(2):123-132.
doi:10.2298/CICEQ0602123S .
Spasić, Aleksandar M., Lazarević, Mihailo, Mitrović, Milan V., Krstić, Dimitrije N., "Fenomeni prenosa elektrona i količine kretanja na razvijenim deformabilnim i rigidnim međupovršinama tečno-tečno" in Chemical Industry and Chemical Engineering Quarterly, 12, no. 2 (2006):123-132,
https://doi.org/10.2298/CICEQ0602123S . .
5
6

Electron transfer at developed interfaces: Electroviscoelastic phenomena

Spasić, Aleksandar; Lazarević, Mihailo

(UK Scotland :Institution of Chemical Engineers, 2005)

TY  - CONF
AU  - Spasić, Aleksandar
AU  - Lazarević, Mihailo
PY  - 2005
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/6751
AB  - A theory of electroviscoelasticity using fractional approach consitutes a new interdisciplinary approach to colloid and interface science. Hence, 1-more degrees of freedom are in the model, 2-memory storage considerations and hereditary properties are included in the model, and 3-history impact to the present and future is in the game! This theory and modells discussed may facilitate the understanding of e.g. entrainment problems in solvent extraction, very developed interfaces in colloid and interface science, chemical and biological sensors, electroanalytical methods, biology/biomedicine (hematology, genetics, electroneurophysiology). Furthermore, both, the model and theory may be implemented in studies of structure; interface barriers/symetries – surface (bilipid membrane cells, free bubbles of surfactants, Langmuir Blodget films), - line (genes, liquid crystals, microtubules), - point (fulerenes, micro-emulsions) and – overall (dry foams, polymer elastic and rigid foams).
PB  - UK  Scotland :Institution of Chemical Engineers
C3  - Electronic proceedings 7th World Congress of Chemical Engineering, Glasgow,July 10-14,2005,  C42-001
T1  - Electron transfer at developed interfaces: Electroviscoelastic phenomena
EP  - 10
SP  - 1
UR  - https://hdl.handle.net/21.15107/rcub_machinery_6751
ER  - 
@conference{
author = "Spasić, Aleksandar and Lazarević, Mihailo",
year = "2005",
abstract = "A theory of electroviscoelasticity using fractional approach consitutes a new interdisciplinary approach to colloid and interface science. Hence, 1-more degrees of freedom are in the model, 2-memory storage considerations and hereditary properties are included in the model, and 3-history impact to the present and future is in the game! This theory and modells discussed may facilitate the understanding of e.g. entrainment problems in solvent extraction, very developed interfaces in colloid and interface science, chemical and biological sensors, electroanalytical methods, biology/biomedicine (hematology, genetics, electroneurophysiology). Furthermore, both, the model and theory may be implemented in studies of structure; interface barriers/symetries – surface (bilipid membrane cells, free bubbles of surfactants, Langmuir Blodget films), - line (genes, liquid crystals, microtubules), - point (fulerenes, micro-emulsions) and – overall (dry foams, polymer elastic and rigid foams).",
publisher = "UK  Scotland :Institution of Chemical Engineers",
journal = "Electronic proceedings 7th World Congress of Chemical Engineering, Glasgow,July 10-14,2005,  C42-001",
title = "Electron transfer at developed interfaces: Electroviscoelastic phenomena",
pages = "10-1",
url = "https://hdl.handle.net/21.15107/rcub_machinery_6751"
}
Spasić, A.,& Lazarević, M.. (2005). Electron transfer at developed interfaces: Electroviscoelastic phenomena. in Electronic proceedings 7th World Congress of Chemical Engineering, Glasgow,July 10-14,2005,  C42-001
UK  Scotland :Institution of Chemical Engineers., 1-10.
https://hdl.handle.net/21.15107/rcub_machinery_6751
Spasić A, Lazarević M. Electron transfer at developed interfaces: Electroviscoelastic phenomena. in Electronic proceedings 7th World Congress of Chemical Engineering, Glasgow,July 10-14,2005,  C42-001. 2005;:1-10.
https://hdl.handle.net/21.15107/rcub_machinery_6751 .
Spasić, Aleksandar, Lazarević, Mihailo, "Electron transfer at developed interfaces: Electroviscoelastic phenomena" in Electronic proceedings 7th World Congress of Chemical Engineering, Glasgow,July 10-14,2005,  C42-001 (2005):1-10,
https://hdl.handle.net/21.15107/rcub_machinery_6751 .

Finite time stability analysis of linear nonautonomous fractional order systems with delayed state:Bellman-Gronwall approach

Lazarević, Mihailo; Spasić, Aleksandar

(UK Scotland :Institution of Chemical Engineers, 2005)

TY  - CONF
AU  - Lazarević, Mihailo
AU  - Spasić, Aleksandar
PY  - 2005
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/6750
AB  - Stability results for finite-dimensional linear nonautonomous time delay fractional differential systems are given in state space form. These problems have not yet been analyzed for this class of linear time-delay fractional order systems. Sufficient conditions for this kind of stability are derived by applying Bellman-Gronwall theorem. Therefore, one can check system stability over finite time interval, using simple example of SISO system.
PB  - UK  Scotland :Institution of Chemical Engineers
C3  - Electronic proceedings 7th World Congress of Chemical Engineering, Glasgow,July 10-14 2005,  P18-22
T1  - Finite time stability analysis of linear nonautonomous fractional order systems with delayed state:Bellman-Gronwall approach
EP  - 11
SP  - 1
UR  - https://hdl.handle.net/21.15107/rcub_machinery_6750
ER  - 
@conference{
author = "Lazarević, Mihailo and Spasić, Aleksandar",
year = "2005",
abstract = "Stability results for finite-dimensional linear nonautonomous time delay fractional differential systems are given in state space form. These problems have not yet been analyzed for this class of linear time-delay fractional order systems. Sufficient conditions for this kind of stability are derived by applying Bellman-Gronwall theorem. Therefore, one can check system stability over finite time interval, using simple example of SISO system.",
publisher = "UK  Scotland :Institution of Chemical Engineers",
journal = "Electronic proceedings 7th World Congress of Chemical Engineering, Glasgow,July 10-14 2005,  P18-22",
title = "Finite time stability analysis of linear nonautonomous fractional order systems with delayed state:Bellman-Gronwall approach",
pages = "11-1",
url = "https://hdl.handle.net/21.15107/rcub_machinery_6750"
}
Lazarević, M.,& Spasić, A.. (2005). Finite time stability analysis of linear nonautonomous fractional order systems with delayed state:Bellman-Gronwall approach. in Electronic proceedings 7th World Congress of Chemical Engineering, Glasgow,July 10-14 2005,  P18-22
UK  Scotland :Institution of Chemical Engineers., 1-11.
https://hdl.handle.net/21.15107/rcub_machinery_6750
Lazarević M, Spasić A. Finite time stability analysis of linear nonautonomous fractional order systems with delayed state:Bellman-Gronwall approach. in Electronic proceedings 7th World Congress of Chemical Engineering, Glasgow,July 10-14 2005,  P18-22. 2005;:1-11.
https://hdl.handle.net/21.15107/rcub_machinery_6750 .
Lazarević, Mihailo, Spasić, Aleksandar, "Finite time stability analysis of linear nonautonomous fractional order systems with delayed state:Bellman-Gronwall approach" in Electronic proceedings 7th World Congress of Chemical Engineering, Glasgow,July 10-14 2005,  P18-22 (2005):1-11,
https://hdl.handle.net/21.15107/rcub_machinery_6750 .

Fractional order model of electroviscoelasticity of liquid-liquid interfaces: nonlinear case

Lazarević, Mihailo; Spasić, Aleksandar

(Jugoslovensko drustvo za Mehaniku, 2005)

TY  - CONF
AU  - Lazarević, Mihailo
AU  - Spasić, Aleksandar
PY  - 2005
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/5488
AB  - A number of theories that describe the behavior of liquid-liquid interfaces have been
developed and applied to various dispersed systems e.g., Stokes, Reiner-Rivelin, Ericksen,
Einstein, Smoluchowski, Kinch, etc. A new theory of electroviscoelasticity describes the
behavior of electrified liquid-liquid interfaces in fine dispersed systems, and is based on a new
constitutive model of liquids. According to this model liquid-liquid droplet or droplet-film
structure (collective of particles) is considered as a macroscopic system with internal structure
determined by the way the molecules (ions) are tuned (structured) into the primary
components of a cluster configuration. How the tuning/structuring occurs depends on the
physical fields involved, both potential (elastic forces) and nonpotential (resistance forces).
Ali these microelements of the primary structure can be considered as electromechanical
oscillators assembled into groups, so that excitation by an external physical field may cause
oscillations at the resonant/characteristic frequency of the system itself (coupling at the
characteristic frequency). Up to day, there are three possible mathematical formalisms
discussed related to the theory of electroviscoelasticity. The first is tension tensor model,
where the normal and tangential forces are considered, only in mathematical formalism,
regardless to their origin (mechanical and/or electrical). The second is Van der Pol derivative
model. Finally, the third, here presented model comprise an effort to generalize the previous
Van der Pol differential equations, nonlinear; i.e. the ordinary time derivatives and integrals
are now replaced by corresponding fractional-order time derivatives and integrals. Fractional
derivatives provide an excellent instrument for the description of memory and hereditary
properties of various materials and processes. The theory of electroviscoelasticity, i.e., its
physical and mathematical formalism, using fractional calculus become more realistic and
compatible, and can be helpful in solving entrainment problems in solvent extraction and in
studies of fine dispersed systems (micro, nano and atto, suspensions, emulsions, fluosols,
foams and beams/streams of entities), the physics of liquids and biological systems.
PB  - Jugoslovensko drustvo za Mehaniku
PB  - Novi Sad: Fakultet tehničkih nauka
C3  - Book of abstracts 25th Yugoslav Congress on Theoretical and Applied Mechanics, Novi Sad, Serbia, June 1-3,2005, 1-11
T1  - Fractional order model of electroviscoelasticity of liquid-liquid interfaces: nonlinear case
EP  - 86
SP  - 86
UR  - https://hdl.handle.net/21.15107/rcub_machinery_5488
ER  - 
@conference{
author = "Lazarević, Mihailo and Spasić, Aleksandar",
year = "2005",
abstract = "A number of theories that describe the behavior of liquid-liquid interfaces have been
developed and applied to various dispersed systems e.g., Stokes, Reiner-Rivelin, Ericksen,
Einstein, Smoluchowski, Kinch, etc. A new theory of electroviscoelasticity describes the
behavior of electrified liquid-liquid interfaces in fine dispersed systems, and is based on a new
constitutive model of liquids. According to this model liquid-liquid droplet or droplet-film
structure (collective of particles) is considered as a macroscopic system with internal structure
determined by the way the molecules (ions) are tuned (structured) into the primary
components of a cluster configuration. How the tuning/structuring occurs depends on the
physical fields involved, both potential (elastic forces) and nonpotential (resistance forces).
Ali these microelements of the primary structure can be considered as electromechanical
oscillators assembled into groups, so that excitation by an external physical field may cause
oscillations at the resonant/characteristic frequency of the system itself (coupling at the
characteristic frequency). Up to day, there are three possible mathematical formalisms
discussed related to the theory of electroviscoelasticity. The first is tension tensor model,
where the normal and tangential forces are considered, only in mathematical formalism,
regardless to their origin (mechanical and/or electrical). The second is Van der Pol derivative
model. Finally, the third, here presented model comprise an effort to generalize the previous
Van der Pol differential equations, nonlinear; i.e. the ordinary time derivatives and integrals
are now replaced by corresponding fractional-order time derivatives and integrals. Fractional
derivatives provide an excellent instrument for the description of memory and hereditary
properties of various materials and processes. The theory of electroviscoelasticity, i.e., its
physical and mathematical formalism, using fractional calculus become more realistic and
compatible, and can be helpful in solving entrainment problems in solvent extraction and in
studies of fine dispersed systems (micro, nano and atto, suspensions, emulsions, fluosols,
foams and beams/streams of entities), the physics of liquids and biological systems.",
publisher = "Jugoslovensko drustvo za Mehaniku, Novi Sad: Fakultet tehničkih nauka",
journal = "Book of abstracts 25th Yugoslav Congress on Theoretical and Applied Mechanics, Novi Sad, Serbia, June 1-3,2005, 1-11",
title = "Fractional order model of electroviscoelasticity of liquid-liquid interfaces: nonlinear case",
pages = "86-86",
url = "https://hdl.handle.net/21.15107/rcub_machinery_5488"
}
Lazarević, M.,& Spasić, A.. (2005). Fractional order model of electroviscoelasticity of liquid-liquid interfaces: nonlinear case. in Book of abstracts 25th Yugoslav Congress on Theoretical and Applied Mechanics, Novi Sad, Serbia, June 1-3,2005, 1-11
Jugoslovensko drustvo za Mehaniku., 86-86.
https://hdl.handle.net/21.15107/rcub_machinery_5488
Lazarević M, Spasić A. Fractional order model of electroviscoelasticity of liquid-liquid interfaces: nonlinear case. in Book of abstracts 25th Yugoslav Congress on Theoretical and Applied Mechanics, Novi Sad, Serbia, June 1-3,2005, 1-11. 2005;:86-86.
https://hdl.handle.net/21.15107/rcub_machinery_5488 .
Lazarević, Mihailo, Spasić, Aleksandar, "Fractional order model of electroviscoelasticity of liquid-liquid interfaces: nonlinear case" in Book of abstracts 25th Yugoslav Congress on Theoretical and Applied Mechanics, Novi Sad, Serbia, June 1-3,2005, 1-11 (2005):86-86,
https://hdl.handle.net/21.15107/rcub_machinery_5488 .

Electron and momentum transfer phenomena at developed deformable and rigid liquid-liquid interfaces

Spasić, Aleksandar; Lazarević, Mihailo; Mitrović, Milan; Krstić, Dimitrije

(Belgrade: Department of Graphical Engineering, Faculty of Technology and Metallurgy, 2005)

TY  - CONF
AU  - Spasić, Aleksandar
AU  - Lazarević, Mihailo
AU  - Mitrović, Milan
AU  - Krstić, Dimitrije
PY  - 2005
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/5456
AB  - A new idea, using deterministic approach, has been applied for the elucidation of the electron
and momentum transfer phenomena at, both rigid and deformable interfaces in finely (micro,
nano, atto) dispersed systems. The behavior of e.g., liquid/liquid interfaces (emulsions and
double emulsions) is based on three forms of “instabilities”; these are rigid, elastic, and plastic.
The events are understood as interactions between the internal (immanent) and external
(incident) periodical physical fields. Since the events at the interfaces of finely dispersed
systems have to be considered at the molecular, atomic, and/or entities level it is inevitable to
introduce the electron transfer beside the classical heat, mass, and momentum transfer
commonly used in chemical engineering. Therefore, an entity can be defined as the smallest
indivisible element of matter that is related to the particular transfer phenomena. Hence, the
entity can be either differential element of mass/demon, ion, phonon as quanta of acoustic
energy, infon as quanta of information, photon, and electron. A number of theories that describe
the behavior of liquid/liquid interfaces have been developed and applied to various dispersed
systems e.g., Stokes, Reiner-Rivelin, Ericksen, Einstein, Smoluchowski, Kinch. A theory of
electroviscoelasticity, based on a new constitutive model of liquids describes the behavior of
electrified liquid/liquid interfaces in finely dispersed systems considering droplet or droplet-film
structure (collective of particles) as a macroscopic system with internal structure determined by
the way the molecules (ions) are tuned (structured) into the primary components of a cluster
configuration. How the tuning occurs depends on the physical fields involved, both potential
(elastic forces) and nonpotential (resistance forces). All these microelements of the primary
structure can be considered as electromechanical oscillators assembled into groups, so the
excitation by an external physical field may cause oscillations at the resonant/characteristic
frequency of the system itself (coupling at the characteristic frequency). Up to day, there are
three possible mathematical formalisms discussed related to the theory of electroviscoelasticity.
The first is tension tensor model, where the normal and tangential forces are considered, only in
mathematical formalism, regardless to their origin (mechanical and/or electrical). The second is
Van der Pol derivative model. Finally, the third model comprise an effort to generalize the
previous Van der Pol differential equations, both, linear and nonlinear; i.e., the ordinary time
derivatives and integrals are now replaced by corresponding fractional-order time derivatives
and integrals of order p<1. Both, the presented model and theory can facilitate the understanding
of entrainment problems in solvent extraction, developed interfaces in colloid and interface
science, chemical and biological sensors, electro analytical methods, biology/biomedicine
(hematology, genetics and electroneurophysiology). Also, this knowledge may be implemented
in studies of structure; interface barriers/symmetries, -surface (bilipid membrane cells, free
bubbles of surfactants, Langmuir Blodgett films), -line (genes, liquid crystals, microtubules), -
point (fulerenes, micro-emulsions), and -overall (dry foams, polymer elastic and rigid foams).
PB  - Belgrade: Department of Graphical Engineering, Faculty of Technology and Metallurgy
PB  - Belgrade: Association of Chemical Engineers
C3  - Book of Abstract of 1st South East European Congress of Chemical Engineering – SEECChE 1, Belgrade, September 25-28, 2005
T1  - Electron and momentum transfer phenomena at developed deformable and rigid liquid-liquid interfaces
EP  - 125
SP  - 125
UR  - https://hdl.handle.net/21.15107/rcub_machinery_5456
ER  - 
@conference{
author = "Spasić, Aleksandar and Lazarević, Mihailo and Mitrović, Milan and Krstić, Dimitrije",
year = "2005",
abstract = "A new idea, using deterministic approach, has been applied for the elucidation of the electron
and momentum transfer phenomena at, both rigid and deformable interfaces in finely (micro,
nano, atto) dispersed systems. The behavior of e.g., liquid/liquid interfaces (emulsions and
double emulsions) is based on three forms of “instabilities”; these are rigid, elastic, and plastic.
The events are understood as interactions between the internal (immanent) and external
(incident) periodical physical fields. Since the events at the interfaces of finely dispersed
systems have to be considered at the molecular, atomic, and/or entities level it is inevitable to
introduce the electron transfer beside the classical heat, mass, and momentum transfer
commonly used in chemical engineering. Therefore, an entity can be defined as the smallest
indivisible element of matter that is related to the particular transfer phenomena. Hence, the
entity can be either differential element of mass/demon, ion, phonon as quanta of acoustic
energy, infon as quanta of information, photon, and electron. A number of theories that describe
the behavior of liquid/liquid interfaces have been developed and applied to various dispersed
systems e.g., Stokes, Reiner-Rivelin, Ericksen, Einstein, Smoluchowski, Kinch. A theory of
electroviscoelasticity, based on a new constitutive model of liquids describes the behavior of
electrified liquid/liquid interfaces in finely dispersed systems considering droplet or droplet-film
structure (collective of particles) as a macroscopic system with internal structure determined by
the way the molecules (ions) are tuned (structured) into the primary components of a cluster
configuration. How the tuning occurs depends on the physical fields involved, both potential
(elastic forces) and nonpotential (resistance forces). All these microelements of the primary
structure can be considered as electromechanical oscillators assembled into groups, so the
excitation by an external physical field may cause oscillations at the resonant/characteristic
frequency of the system itself (coupling at the characteristic frequency). Up to day, there are
three possible mathematical formalisms discussed related to the theory of electroviscoelasticity.
The first is tension tensor model, where the normal and tangential forces are considered, only in
mathematical formalism, regardless to their origin (mechanical and/or electrical). The second is
Van der Pol derivative model. Finally, the third model comprise an effort to generalize the
previous Van der Pol differential equations, both, linear and nonlinear; i.e., the ordinary time
derivatives and integrals are now replaced by corresponding fractional-order time derivatives
and integrals of order p<1. Both, the presented model and theory can facilitate the understanding
of entrainment problems in solvent extraction, developed interfaces in colloid and interface
science, chemical and biological sensors, electro analytical methods, biology/biomedicine
(hematology, genetics and electroneurophysiology). Also, this knowledge may be implemented
in studies of structure; interface barriers/symmetries, -surface (bilipid membrane cells, free
bubbles of surfactants, Langmuir Blodgett films), -line (genes, liquid crystals, microtubules), -
point (fulerenes, micro-emulsions), and -overall (dry foams, polymer elastic and rigid foams).",
publisher = "Belgrade: Department of Graphical Engineering, Faculty of Technology and Metallurgy, Belgrade: Association of Chemical Engineers",
journal = "Book of Abstract of 1st South East European Congress of Chemical Engineering – SEECChE 1, Belgrade, September 25-28, 2005",
title = "Electron and momentum transfer phenomena at developed deformable and rigid liquid-liquid interfaces",
pages = "125-125",
url = "https://hdl.handle.net/21.15107/rcub_machinery_5456"
}
Spasić, A., Lazarević, M., Mitrović, M.,& Krstić, D.. (2005). Electron and momentum transfer phenomena at developed deformable and rigid liquid-liquid interfaces. in Book of Abstract of 1st South East European Congress of Chemical Engineering – SEECChE 1, Belgrade, September 25-28, 2005
Belgrade: Department of Graphical Engineering, Faculty of Technology and Metallurgy., 125-125.
https://hdl.handle.net/21.15107/rcub_machinery_5456
Spasić A, Lazarević M, Mitrović M, Krstić D. Electron and momentum transfer phenomena at developed deformable and rigid liquid-liquid interfaces. in Book of Abstract of 1st South East European Congress of Chemical Engineering – SEECChE 1, Belgrade, September 25-28, 2005. 2005;:125-125.
https://hdl.handle.net/21.15107/rcub_machinery_5456 .
Spasić, Aleksandar, Lazarević, Mihailo, Mitrović, Milan, Krstić, Dimitrije, "Electron and momentum transfer phenomena at developed deformable and rigid liquid-liquid interfaces" in Book of Abstract of 1st South East European Congress of Chemical Engineering – SEECChE 1, Belgrade, September 25-28, 2005 (2005):125-125,
https://hdl.handle.net/21.15107/rcub_machinery_5456 .

Theory of electroviscoelasticity

Spasić, Aleksandar M.; Lazarević, Mihailo; Krstić, Dimitrije N.

(CRC Press, 2005)

TY  - CHAP
AU  - Spasić, Aleksandar M.
AU  - Lazarević, Mihailo
AU  - Krstić, Dimitrije N.
PY  - 2005
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/549
AB  - Electroviscosity and electroviscoelasticity are terms that may be dealing with fluid flow effects on physical, chemical, and biochemical processes. The hydrodynamic or electrodynamic motion is considered in the presence of both potential (elastic forces) and nonpotential (resistance forces) fields. The elastic forces are gravitational, buoyancy, and electrostatic or electrodynamic (Lorentz), and the resistance forces are continuum resistance or viscosity and electrical resistance or impedance.
PB  - CRC Press
T2  - Finely Dispersed Particles: Micro-, Nano-, and Atto-Engineering
T1  - Theory of electroviscoelasticity
EP  - 393
SP  - 371
UR  - https://hdl.handle.net/21.15107/rcub_machinery_549
ER  - 
@inbook{
author = "Spasić, Aleksandar M. and Lazarević, Mihailo and Krstić, Dimitrije N.",
year = "2005",
abstract = "Electroviscosity and electroviscoelasticity are terms that may be dealing with fluid flow effects on physical, chemical, and biochemical processes. The hydrodynamic or electrodynamic motion is considered in the presence of both potential (elastic forces) and nonpotential (resistance forces) fields. The elastic forces are gravitational, buoyancy, and electrostatic or electrodynamic (Lorentz), and the resistance forces are continuum resistance or viscosity and electrical resistance or impedance.",
publisher = "CRC Press",
journal = "Finely Dispersed Particles: Micro-, Nano-, and Atto-Engineering",
booktitle = "Theory of electroviscoelasticity",
pages = "393-371",
url = "https://hdl.handle.net/21.15107/rcub_machinery_549"
}
Spasić, A. M., Lazarević, M.,& Krstić, D. N.. (2005). Theory of electroviscoelasticity. in Finely Dispersed Particles: Micro-, Nano-, and Atto-Engineering
CRC Press., 371-393.
https://hdl.handle.net/21.15107/rcub_machinery_549
Spasić AM, Lazarević M, Krstić DN. Theory of electroviscoelasticity. in Finely Dispersed Particles: Micro-, Nano-, and Atto-Engineering. 2005;:371-393.
https://hdl.handle.net/21.15107/rcub_machinery_549 .
Spasić, Aleksandar M., Lazarević, Mihailo, Krstić, Dimitrije N., "Theory of electroviscoelasticity" in Finely Dispersed Particles: Micro-, Nano-, and Atto-Engineering (2005):371-393,
https://hdl.handle.net/21.15107/rcub_machinery_549 .
7

Electroviscoelasticity of liquid/liquid interfaces: fractional-order model

Spasić, Aleksandar M.; Lazarević, Mihailo

(Academic Press Inc Elsevier Science, San Diego, 2005)

TY  - JOUR
AU  - Spasić, Aleksandar M.
AU  - Lazarević, Mihailo
PY  - 2005
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/487
AB  - A number of theories that describe the behavior of liquid-liquid interfaces have been developed and applied to various dispersed systems, e.g., Stokes, Reiner-Rivelin, Ericksen, Einstein, Smoluchowski, and Kinch. A new theory of electroviscoelasticity describes the behavior of electrified liquid-liquid interfaces in fine dispersed systems and is based on a new constitutive model of liquids. According to this model liquid-liquid droplet or droplet-film structure (collective of particles) is considered as a macroscopic system with internal structure determined by the way the molecules (ions) are tuned (structured) into the primary components of a cluster configuration. How the tuning/structuring, occurs depends on the physical fields involved, both potential (elastic forces) and nonpotential (resistance forces). All these microelements of the primary structure can be considered as electromechanical oscillators assembled into groups, so that excitation by an external physical field may cause oscillations at the resonant/characteristic frequency of the system itself (coupling at the characteristic frequency). Up to now, three possible mathematical formalisms have been discussed related to the theory of electroviscoelasticity. The first is the tension tensor model, where the normal and tangential forces are considered, only in mathematical formalism, regardless of their origin (mechanical and/or electrical). The second is the Van der Pol derivative model, presented by linear and nonlinear differential equations. Finally, the third model presents an effort to generalize the previous Van der Pol equation: the ordinary time derivative and integral are now replaced with the corresponding fractional-order time derivative and integral of order p  lt  1.
PB  - Academic Press Inc Elsevier Science, San Diego
T2  - Journal of Colloid and Interface Science
T1  - Electroviscoelasticity of liquid/liquid interfaces: fractional-order model
EP  - 230
IS  - 1
SP  - 223
VL  - 282
DO  - 10.1016/j.jcis.2004.08.113
ER  - 
@article{
author = "Spasić, Aleksandar M. and Lazarević, Mihailo",
year = "2005",
abstract = "A number of theories that describe the behavior of liquid-liquid interfaces have been developed and applied to various dispersed systems, e.g., Stokes, Reiner-Rivelin, Ericksen, Einstein, Smoluchowski, and Kinch. A new theory of electroviscoelasticity describes the behavior of electrified liquid-liquid interfaces in fine dispersed systems and is based on a new constitutive model of liquids. According to this model liquid-liquid droplet or droplet-film structure (collective of particles) is considered as a macroscopic system with internal structure determined by the way the molecules (ions) are tuned (structured) into the primary components of a cluster configuration. How the tuning/structuring, occurs depends on the physical fields involved, both potential (elastic forces) and nonpotential (resistance forces). All these microelements of the primary structure can be considered as electromechanical oscillators assembled into groups, so that excitation by an external physical field may cause oscillations at the resonant/characteristic frequency of the system itself (coupling at the characteristic frequency). Up to now, three possible mathematical formalisms have been discussed related to the theory of electroviscoelasticity. The first is the tension tensor model, where the normal and tangential forces are considered, only in mathematical formalism, regardless of their origin (mechanical and/or electrical). The second is the Van der Pol derivative model, presented by linear and nonlinear differential equations. Finally, the third model presents an effort to generalize the previous Van der Pol equation: the ordinary time derivative and integral are now replaced with the corresponding fractional-order time derivative and integral of order p  lt  1.",
publisher = "Academic Press Inc Elsevier Science, San Diego",
journal = "Journal of Colloid and Interface Science",
title = "Electroviscoelasticity of liquid/liquid interfaces: fractional-order model",
pages = "230-223",
number = "1",
volume = "282",
doi = "10.1016/j.jcis.2004.08.113"
}
Spasić, A. M.,& Lazarević, M.. (2005). Electroviscoelasticity of liquid/liquid interfaces: fractional-order model. in Journal of Colloid and Interface Science
Academic Press Inc Elsevier Science, San Diego., 282(1), 223-230.
https://doi.org/10.1016/j.jcis.2004.08.113
Spasić AM, Lazarević M. Electroviscoelasticity of liquid/liquid interfaces: fractional-order model. in Journal of Colloid and Interface Science. 2005;282(1):223-230.
doi:10.1016/j.jcis.2004.08.113 .
Spasić, Aleksandar M., Lazarević, Mihailo, "Electroviscoelasticity of liquid/liquid interfaces: fractional-order model" in Journal of Colloid and Interface Science, 282, no. 1 (2005):223-230,
https://doi.org/10.1016/j.jcis.2004.08.113 . .
25
30

Electron transfer at rigid and deformable interfaces: electroviscoelasticity

Spasić, Aleksandar; Lazarević, Mihailo; Mitrović, Milan; Krstić, Dimitrije

(Belgrade : Society of Physical Chemists of Serbia, 2004)

TY  - CONF
AU  - Spasić, Aleksandar
AU  - Lazarević, Mihailo
AU  - Mitrović, Milan
AU  - Krstić, Dimitrije
PY  - 2004
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/6806
AB  - Up to now, there are three possible mathematical formalisms discussed related to the theory of electroviscoelasticity. The first is tension tensor model where the normal and tangential forces are considered regardless of their origin (mechanical and/or electrical). The second is Van der Pol derivative model. Finally, the third, here presented, model comprises an effort to generalize the previous Van der Pol equation; i.e. the ordinary time derivatives and integrals are now replaced with corresponding fractional-order time derivatives.
PB  - Belgrade : Society of Physical Chemists of Serbia
C3  - Proceedings of Selforganization in Nonequilibrium Systems, September 24-25, 2004, Belgrade
T1  - Electron transfer at rigid and deformable interfaces:  electroviscoelasticity
EP  - 100
SP  - 97
UR  - https://hdl.handle.net/21.15107/rcub_machinery_6806
ER  - 
@conference{
author = "Spasić, Aleksandar and Lazarević, Mihailo and Mitrović, Milan and Krstić, Dimitrije",
year = "2004",
abstract = "Up to now, there are three possible mathematical formalisms discussed related to the theory of electroviscoelasticity. The first is tension tensor model where the normal and tangential forces are considered regardless of their origin (mechanical and/or electrical). The second is Van der Pol derivative model. Finally, the third, here presented, model comprises an effort to generalize the previous Van der Pol equation; i.e. the ordinary time derivatives and integrals are now replaced with corresponding fractional-order time derivatives.",
publisher = "Belgrade : Society of Physical Chemists of Serbia",
journal = "Proceedings of Selforganization in Nonequilibrium Systems, September 24-25, 2004, Belgrade",
title = "Electron transfer at rigid and deformable interfaces:  electroviscoelasticity",
pages = "100-97",
url = "https://hdl.handle.net/21.15107/rcub_machinery_6806"
}
Spasić, A., Lazarević, M., Mitrović, M.,& Krstić, D.. (2004). Electron transfer at rigid and deformable interfaces:  electroviscoelasticity. in Proceedings of Selforganization in Nonequilibrium Systems, September 24-25, 2004, Belgrade
Belgrade : Society of Physical Chemists of Serbia., 97-100.
https://hdl.handle.net/21.15107/rcub_machinery_6806
Spasić A, Lazarević M, Mitrović M, Krstić D. Electron transfer at rigid and deformable interfaces:  electroviscoelasticity. in Proceedings of Selforganization in Nonequilibrium Systems, September 24-25, 2004, Belgrade. 2004;:97-100.
https://hdl.handle.net/21.15107/rcub_machinery_6806 .
Spasić, Aleksandar, Lazarević, Mihailo, Mitrović, Milan, Krstić, Dimitrije, "Electron transfer at rigid and deformable interfaces:  electroviscoelasticity" in Proceedings of Selforganization in Nonequilibrium Systems, September 24-25, 2004, Belgrade (2004):97-100,
https://hdl.handle.net/21.15107/rcub_machinery_6806 .

Theory of electroviscoelasticity: fractional approach

Spasić, Aleksandar; Lazarević, Mihailo

(Prague: Czech society of chemical engineering, 2004)

TY  - CONF
AU  - Spasić, Aleksandar
AU  - Lazarević, Mihailo
PY  - 2004
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/5550
AB  - The theory of electroviscoelasticity using fractional approach consitutes a new
interdisciplinary approach to colloid and interface science. Hence, 1-more degrees of freedom
are in the model, 2-memory storage considerations and hereditary properties are included in
the model, and 3-history/impact to the present and future is in the game.
PB  - Prague:  Czech society  of chemical engineering
C3  - Proceedings of 16th International Congress of Chemical and Process Engineering 22th - 26th August 2004, Prague - Czech Republic, D.5.4
T1  - Theory of electroviscoelasticity: fractional approach
EP  - 2
SP  - 1
UR  - https://hdl.handle.net/21.15107/rcub_machinery_5550
ER  - 
@conference{
author = "Spasić, Aleksandar and Lazarević, Mihailo",
year = "2004",
abstract = "The theory of electroviscoelasticity using fractional approach consitutes a new
interdisciplinary approach to colloid and interface science. Hence, 1-more degrees of freedom
are in the model, 2-memory storage considerations and hereditary properties are included in
the model, and 3-history/impact to the present and future is in the game.",
publisher = "Prague:  Czech society  of chemical engineering",
journal = "Proceedings of 16th International Congress of Chemical and Process Engineering 22th - 26th August 2004, Prague - Czech Republic, D.5.4",
title = "Theory of electroviscoelasticity: fractional approach",
pages = "2-1",
url = "https://hdl.handle.net/21.15107/rcub_machinery_5550"
}
Spasić, A.,& Lazarević, M.. (2004). Theory of electroviscoelasticity: fractional approach. in Proceedings of 16th International Congress of Chemical and Process Engineering 22th - 26th August 2004, Prague - Czech Republic, D.5.4
Prague:  Czech society  of chemical engineering., 1-2.
https://hdl.handle.net/21.15107/rcub_machinery_5550
Spasić A, Lazarević M. Theory of electroviscoelasticity: fractional approach. in Proceedings of 16th International Congress of Chemical and Process Engineering 22th - 26th August 2004, Prague - Czech Republic, D.5.4. 2004;:1-2.
https://hdl.handle.net/21.15107/rcub_machinery_5550 .
Spasić, Aleksandar, Lazarević, Mihailo, "Theory of electroviscoelasticity: fractional approach" in Proceedings of 16th International Congress of Chemical and Process Engineering 22th - 26th August 2004, Prague - Czech Republic, D.5.4 (2004):1-2,
https://hdl.handle.net/21.15107/rcub_machinery_5550 .

Electroviscoelasticity of liquid-liquid interfaces: Fractional approach

Lazarević, Mihailo; Spasić, Aleksandar

(Granda, Spain : EFCE, ANQUE, 2003)

TY  - CONF
AU  - Lazarević, Mihailo
AU  - Spasić, Aleksandar
PY  - 2003
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/6669
AB  - A new theory of electroviscoelasticity describes the behavior of electrificied liquid-liquid interfaces in fine dispersed systems and is based on the new constitutive model of liquids. The generalized equation  of ordinary time derivative and integral are replaced with corresponding fractional-order time derivative and integral order p. Finally, one can obtain solution in time domain using the corresponding Green function.
PB  - Granda, Spain : EFCE, ANQUE
C3  - Book of Abstracts 4th European congress of chemical engineering, ECCE Abstract of papers, September 21-25, Granada, Spain, 2003 Part 5, 5. 2-033
T1  - Electroviscoelasticity of liquid-liquid interfaces: Fractional approach
EP  - 2
SP  - 1
UR  - https://hdl.handle.net/21.15107/rcub_machinery_6669
ER  - 
@conference{
author = "Lazarević, Mihailo and Spasić, Aleksandar",
year = "2003",
abstract = "A new theory of electroviscoelasticity describes the behavior of electrificied liquid-liquid interfaces in fine dispersed systems and is based on the new constitutive model of liquids. The generalized equation  of ordinary time derivative and integral are replaced with corresponding fractional-order time derivative and integral order p. Finally, one can obtain solution in time domain using the corresponding Green function.",
publisher = "Granda, Spain : EFCE, ANQUE",
journal = "Book of Abstracts 4th European congress of chemical engineering, ECCE Abstract of papers, September 21-25, Granada, Spain, 2003 Part 5, 5. 2-033",
title = "Electroviscoelasticity of liquid-liquid interfaces: Fractional approach",
pages = "2-1",
url = "https://hdl.handle.net/21.15107/rcub_machinery_6669"
}
Lazarević, M.,& Spasić, A.. (2003). Electroviscoelasticity of liquid-liquid interfaces: Fractional approach. in Book of Abstracts 4th European congress of chemical engineering, ECCE Abstract of papers, September 21-25, Granada, Spain, 2003 Part 5, 5. 2-033
Granda, Spain : EFCE, ANQUE., 1-2.
https://hdl.handle.net/21.15107/rcub_machinery_6669
Lazarević M, Spasić A. Electroviscoelasticity of liquid-liquid interfaces: Fractional approach. in Book of Abstracts 4th European congress of chemical engineering, ECCE Abstract of papers, September 21-25, Granada, Spain, 2003 Part 5, 5. 2-033. 2003;:1-2.
https://hdl.handle.net/21.15107/rcub_machinery_6669 .
Lazarević, Mihailo, Spasić, Aleksandar, "Electroviscoelasticity of liquid-liquid interfaces: Fractional approach" in Book of Abstracts 4th European congress of chemical engineering, ECCE Abstract of papers, September 21-25, Granada, Spain, 2003 Part 5, 5. 2-033 (2003):1-2,
https://hdl.handle.net/21.15107/rcub_machinery_6669 .