Fractal boundary value problems for integral and differential equations with local fractional operators
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.
Keywords:
wave equations / local fractional decomposition method / integral equations / heat conduction equations / boundary value problemsSource:
Thermal Science, 2015, 19, 3, 959-966Publisher:
- Univerzitet u Beogradu - Institut za nuklearne nauke Vinča, Beograd
Funding / projects:
- Dynamics of hybrid systems with complex structures. Mechanics of materials. (RS-MESTD-Basic Research (BR or ON)-174001)
- Development of methods and techniques for early diagnostic of cervical, colon, oral cavity cancer and melanoma based on a digital image and excitation-emission spectrum in visible and infrared domain (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-41006)
- Sustainability and improvement of mechanical systems in energetic, material handling and conveying by using forensic engineering, environmental and robust design (RS-MESTD-Technological Development (TD or TR)-35006)
DOI: 10.2298/TSCI130717103Y
ISSN: 0354-9836
WoS: 000361409600020
Scopus: 2-s2.0-84979894399
Collections
Institution/Community
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 . .