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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Bibliographic Details
Main Authors: A. Elbeleze, Asma, Kilicman, Adem, M. Taib, Bachok
Format: Article
Language:English
Published: Elsevier BV 2016
Online Access: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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Institution: Universiti Putra Malaysia
Language: English
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Summary: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.