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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| Format: | Article |
| Language: | English |
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Elsevier BV
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/55110/ http://psasir.upm.edu.my/id/eprint/55110/1/Approximate%20solution%20of%20integro-differential%20equation%20of%20fractional%20%28arbitrary%29%20order.pdf |
| _version_ | 1848852715202936832 |
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| author | A. Elbeleze, Asma Kilicman, Adem M. Taib, Bachok |
| author_facet | A. Elbeleze, Asma Kilicman, Adem M. Taib, Bachok |
| author_sort | A. Elbeleze, Asma |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T10:42:29Z |
| format | Article |
| id | upm-55110 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:42:29Z |
| publishDate | 2016 |
| publisher | Elsevier BV |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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 |
| spellingShingle | A. Elbeleze, Asma Kilicman, Adem M. Taib, Bachok Approximate solution of integro-differential equation of fractional (arbitrary) order |
| title | 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_short | Approximate solution of integro-differential equation of fractional (arbitrary) order |
| title_sort | approximate solution of integro-differential equation of fractional (arbitrary) order |
| url | http://psasir.upm.edu.my/id/eprint/55110/ http://psasir.upm.edu.my/id/eprint/55110/ http://psasir.upm.edu.my/id/eprint/55110/ http://psasir.upm.edu.my/id/eprint/55110/1/Approximate%20solution%20of%20integro-differential%20equation%20of%20fractional%20%28arbitrary%29%20order.pdf |