Fractal boundary value problems for integral and differential equations with local fractional operators
Apstrakt
In the present paper we investigate the fractal boundary value problems for the Fredholm and Volterra integral equations, heat conduction and wave equations by using the local fractional decomposition method. The operator is described by the local fractional operators. The four illustrative examples are given to elaborate the accuracy and reliability of the obtained results.
Ključne reči:
wave equations / local fractional decomposition method / integral equations / heat conduction equations / boundary value problemsIzvor:
Thermal Science, 2015, 19, 3, 959-966Izdavač:
- Univerzitet u Beogradu - Institut za nuklearne nauke Vinča, Beograd
Finansiranje / projekti:
- Dinamika hibridnih sistema složenih struktura. Mehanika materijala (RS-MESTD-Basic Research (BR or ON)-174001)
- Razvoj novih metoda i tehnika za ranu dijagnostiku kancera grlića materice, debelog creva, usne duplje i melanoma na bazi digitalne slike i ekscitaciono-emisionih spektara u vidljivom i infracrvenom domenu (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-41006)
- Održivost i unapređenje mašinskih sistema u energetici i transportu primenom forenzičkog inženjerstva, eko i robust dizajna (RS-MESTD-Technological Development (TD or TR)-35006)
DOI: 10.2298/TSCI130717103Y
ISSN: 0354-9836
WoS: 000361409600020
Scopus: 2-s2.0-84979894399
Kolekcije
Institucija/grupa
Mašinski fakultetTY - JOUR AU - Yang, Xiao-Jun AU - Baleanu, Dumitru AU - Lazarević, Mihailo AU - Cajić, Milan S. PY - 2015 UR - https://machinery.mas.bg.ac.rs/handle/123456789/2109 AB - In the present paper we investigate the fractal boundary value problems for the Fredholm and Volterra integral equations, heat conduction and wave equations by using the local fractional decomposition method. The operator is described by the local fractional operators. The four illustrative examples are given to elaborate the accuracy and reliability of the obtained results. PB - Univerzitet u Beogradu - Institut za nuklearne nauke Vinča, Beograd T2 - Thermal Science T1 - Fractal boundary value problems for integral and differential equations with local fractional operators EP - 966 IS - 3 SP - 959 VL - 19 DO - 10.2298/TSCI130717103Y ER -
@article{ author = "Yang, Xiao-Jun and Baleanu, Dumitru and Lazarević, Mihailo and Cajić, Milan S.", year = "2015", abstract = "In the present paper we investigate the fractal boundary value problems for the Fredholm and Volterra integral equations, heat conduction and wave equations by using the local fractional decomposition method. The operator is described by the local fractional operators. The four illustrative examples are given to elaborate the accuracy and reliability of the obtained results.", publisher = "Univerzitet u Beogradu - Institut za nuklearne nauke Vinča, Beograd", journal = "Thermal Science", title = "Fractal boundary value problems for integral and differential equations with local fractional operators", pages = "966-959", number = "3", volume = "19", doi = "10.2298/TSCI130717103Y" }
Yang, X., Baleanu, D., Lazarević, M.,& Cajić, M. S.. (2015). Fractal boundary value problems for integral and differential equations with local fractional operators. in Thermal Science Univerzitet u Beogradu - Institut za nuklearne nauke Vinča, Beograd., 19(3), 959-966. https://doi.org/10.2298/TSCI130717103Y
Yang X, Baleanu D, Lazarević M, Cajić MS. Fractal boundary value problems for integral and differential equations with local fractional operators. in Thermal Science. 2015;19(3):959-966. doi:10.2298/TSCI130717103Y .
Yang, Xiao-Jun, Baleanu, Dumitru, Lazarević, Mihailo, Cajić, Milan S., "Fractal boundary value problems for integral and differential equations with local fractional operators" in Thermal Science, 19, no. 3 (2015):959-966, https://doi.org/10.2298/TSCI130717103Y . .