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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2016
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my.upm.eprints.551102017-12-26T10:29:34Z http://psasir.upm.edu.my/id/eprint/55110/ Approximate solution of integro-differential equation of fractional (arbitrary) order A. Elbeleze, Asma Kilicman, Adem M. Taib, Bachok 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. Elsevier BV 2016-01 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/55110/1/Approximate%20solution%20of%20integro-differential%20equation%20of%20fractional%20%28arbitrary%29%20order.pdf A. Elbeleze, Asma and Kilicman, Adem and M. Taib, Bachok (2016) Approximate solution of integro-differential equation of fractional (arbitrary) order. Journal of King Saud University - Science, 28 (1). pp. 61-68. ISSN 1018-3647 http://www.journals.elsevier.com/journal-of-king-saud-university-science/ 10.1016/j.jksus.2015.04.006 |
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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. |
| format |
Article |
| author |
A. Elbeleze, Asma Kilicman, Adem M. Taib, Bachok |
| spellingShingle |
A. Elbeleze, Asma Kilicman, Adem M. Taib, Bachok Approximate solution of integro-differential equation of fractional (arbitrary) order |
| author_facet |
A. Elbeleze, Asma Kilicman, Adem M. Taib, Bachok |
| author_sort |
A. Elbeleze, Asma |
| title |
Approximate solution of integro-differential equation of fractional (arbitrary) order |
| title_short |
Approximate solution of integro-differential equation of fractional (arbitrary) order |
| title_full |
Approximate solution of integro-differential equation of fractional (arbitrary) order |
| title_fullStr |
Approximate solution of integro-differential equation of fractional (arbitrary) order |
| title_full_unstemmed |
Approximate solution of integro-differential equation of fractional (arbitrary) order |
| title_sort |
approximate solution of integro-differential equation of fractional (arbitrary) order |
| publisher |
Elsevier BV |
| publishDate |
2016 |
| url |
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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