The use of Sumudu transform for solving certain nonlinear fractional heat-like equations
We make use of the properties of the Sumudu transform to solve nonlinear fractional partial differential equations describing heat-like equation with variable coefficients. The method, namely, homotopy perturbation Sumudu transform method, is the combination of the Sumudu transform and the HPM using...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Publishing Corporation
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/30200/ http://psasir.upm.edu.my/id/eprint/30200/1/30200.pdf |
| _version_ | 1848846609928945664 |
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| author | Atangana, Abdon Kilicman, Adem |
| author_facet | Atangana, Abdon Kilicman, Adem |
| author_sort | Atangana, Abdon |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | We make use of the properties of the Sumudu transform to solve nonlinear fractional partial differential equations describing heat-like equation with variable coefficients. The method, namely, homotopy perturbation Sumudu transform method, is the combination of the Sumudu transform and the HPM using He’s polynomials. This method is very powerful, and professional techniques for solving different kinds of linear and nonlinear fractional differential equations arising in different fields of science and engineering. |
| first_indexed | 2025-11-15T09:05:26Z |
| format | Article |
| id | upm-30200 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:05:26Z |
| publishDate | 2013 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-302002017-10-19T06:05:01Z http://psasir.upm.edu.my/id/eprint/30200/ The use of Sumudu transform for solving certain nonlinear fractional heat-like equations Atangana, Abdon Kilicman, Adem We make use of the properties of the Sumudu transform to solve nonlinear fractional partial differential equations describing heat-like equation with variable coefficients. The method, namely, homotopy perturbation Sumudu transform method, is the combination of the Sumudu transform and the HPM using He’s polynomials. This method is very powerful, and professional techniques for solving different kinds of linear and nonlinear fractional differential equations arising in different fields of science and engineering. Hindawi Publishing Corporation 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30200/1/30200.pdf Atangana, Abdon and Kilicman, Adem (2013) The use of Sumudu transform for solving certain nonlinear fractional heat-like equations. Abstract and Applied Analysis, 2013. art. no. 737481. pp. 1-12. ISSN 1085-3375; ESSN: 1687-0409 https://www.hindawi.com/journals/aaa/2013/737481/abs/ 10.1155/2013/737481 |
| spellingShingle | Atangana, Abdon Kilicman, Adem The use of Sumudu transform for solving certain nonlinear fractional heat-like equations |
| title | The use of Sumudu transform for solving certain nonlinear fractional heat-like equations |
| title_full | The use of Sumudu transform for solving certain nonlinear fractional heat-like equations |
| title_fullStr | The use of Sumudu transform for solving certain nonlinear fractional heat-like equations |
| title_full_unstemmed | The use of Sumudu transform for solving certain nonlinear fractional heat-like equations |
| title_short | The use of Sumudu transform for solving certain nonlinear fractional heat-like equations |
| title_sort | use of sumudu transform for solving certain nonlinear fractional heat-like equations |
| url | http://psasir.upm.edu.my/id/eprint/30200/ http://psasir.upm.edu.my/id/eprint/30200/ http://psasir.upm.edu.my/id/eprint/30200/ http://psasir.upm.edu.my/id/eprint/30200/1/30200.pdf |