Application of homotopy perturbation method for fractional partial differential equations
Fractional partial differential equations arise from many fields of physics and apply a very important role in various branches of science and engineering. Finding accurate and efficient methods for solving partial differential equations of fractional order has become an active research undertaking....
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Institute for Mathematical Research, Universiti Putra Malaysia
2014
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| Online Access: | http://psasir.upm.edu.my/id/eprint/38948/ http://psasir.upm.edu.my/id/eprint/38948/1/38948.pdf |
| _version_ | 1848849012822638592 |
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| author | Elbeleze, Asma Ali Kilicman, Adem M. Taib, Bachok |
| author_facet | Elbeleze, Asma Ali Kilicman, Adem M. Taib, Bachok |
| author_sort | Elbeleze, Asma Ali |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Fractional partial differential equations arise from many fields of physics and apply a very important role in various branches of science and engineering. Finding accurate and efficient methods for solving partial differential equations of fractional order has become an active research undertaking. In the present paper, the homotopy perturbation method proposed by J-H He has been used to obtain the solution of some fractional partial differential equations with variable coefficients. Exact and/or approximate analytical solutions of these equations are obtained. |
| first_indexed | 2025-11-15T09:43:38Z |
| format | Article |
| id | upm-38948 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:43:38Z |
| publishDate | 2014 |
| publisher | Institute for Mathematical Research, Universiti Putra Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-389482015-09-04T13:41:34Z http://psasir.upm.edu.my/id/eprint/38948/ Application of homotopy perturbation method for fractional partial differential equations Elbeleze, Asma Ali Kilicman, Adem M. Taib, Bachok Fractional partial differential equations arise from many fields of physics and apply a very important role in various branches of science and engineering. Finding accurate and efficient methods for solving partial differential equations of fractional order has become an active research undertaking. In the present paper, the homotopy perturbation method proposed by J-H He has been used to obtain the solution of some fractional partial differential equations with variable coefficients. Exact and/or approximate analytical solutions of these equations are obtained. Institute for Mathematical Research, Universiti Putra Malaysia 2014-07 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/38948/1/38948.pdf Elbeleze, Asma Ali and Kilicman, Adem and M. Taib, Bachok (2014) Application of homotopy perturbation method for fractional partial differential equations. Malaysian Journal of Mathematical Sciences, 8 (2). pp. 265-287. ISSN 1823-8343; ESSN: 2289-750X http://einspem.upm.edu.my/journal/fullpaper/vol8no2/8.%20Asma%20Ali%20Elbeleze.pdf |
| spellingShingle | Elbeleze, Asma Ali Kilicman, Adem M. Taib, Bachok Application of homotopy perturbation method for fractional partial differential equations |
| title | Application of homotopy perturbation method for fractional partial differential equations |
| title_full | Application of homotopy perturbation method for fractional partial differential equations |
| title_fullStr | Application of homotopy perturbation method for fractional partial differential equations |
| title_full_unstemmed | Application of homotopy perturbation method for fractional partial differential equations |
| title_short | Application of homotopy perturbation method for fractional partial differential equations |
| title_sort | application of homotopy perturbation method for fractional partial differential equations |
| url | http://psasir.upm.edu.my/id/eprint/38948/ http://psasir.upm.edu.my/id/eprint/38948/ http://psasir.upm.edu.my/id/eprint/38948/1/38948.pdf |