Approximate solution of integro-differential equation of fractional (arbitrary) order

In the present paper, we study the integro-differential equations which are combination of differential and Fredholm–Volterra equations that have the fractional order with constant coefficients by the homotopy perturbation and the variational iteration. The fractional derivatives are described in Ca...

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Main Authors: A. Elbeleze, Asma, Kilicman, Adem, M. Taib, Bachok
格式: Article
語言:English
出版: Elsevier BV 2016
在線閱讀:http://psasir.upm.edu.my/id/eprint/55110/1/Approximate%20solution%20of%20integro-differential%20equation%20of%20fractional%20%28arbitrary%29%20order.pdf
http://psasir.upm.edu.my/id/eprint/55110/
http://www.journals.elsevier.com/journal-of-king-saud-university-science/
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機構: Universiti Putra Malaysia
語言: English
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總結:In the present paper, we study the integro-differential equations which are combination of differential and Fredholm–Volterra equations that have the fractional order with constant coefficients by the homotopy perturbation and the variational iteration. The fractional derivatives are described in Caputo sense. Some illustrative examples are presented.