Fractal boundary value problems for integral and differential equations with local fractional operators
Апстракт
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.
Кључне речи:
wave equations / local fractional decomposition method / integral equations / heat conduction equations / boundary value problemsИзвор:
Thermal Science, 2015, 19, 3, 959-966Издавач:
- Univerzitet u Beogradu - Institut za nuklearne nauke Vinča, Beograd
Финансирање / пројекти:
- Динамика хибридних система сложених структура. Механика материјала (RS-MESTD-Basic Research (BR or ON)-174001)
- Развој нових метода и техника за рану дијагностику канцера грлића материце, дебелог црева, усне дупље и меланома на бази дигиталне слике и ексцитационо-емисионих спектара у видљивом и инфрацрвеном домену (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-41006)
- Одрживост и унапређење машинских система у енергетици и транспорту применом форензичког инжењерства, еко и робуст дизајна (RS-MESTD-Technological Development (TD or TR)-35006)
DOI: 10.2298/TSCI130717103Y
ISSN: 0354-9836
WoS: 000361409600020
Scopus: 2-s2.0-84979894399
Колекције
Институција/група
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 . .