Iqbal, Sajad and Martinez, Francisco and Kaabar, Mohammed K. A. and Samei, Mohammad Esmael (2022) A novel Elzaki transform homotopy perturbation method for solving time-fractional non-linear partial differential equations. BOUNDARY VALUE PROBLEMS, 2022 (1). ISSN 1687-2770, DOI https://doi.org/10.1186/s13661-022-01673-3.
Full text not available from this repository.Abstract
This paper presents the solution of important types of non-linear time-fractional partial differential equations via the conformable Elzaki transform Homotopy perturbation method. We apply the proposed technique to solve four types of non-linear time-fractional partial differential equations. In addition, we establish the results on the uniqueness and convergence of the solution. Finally, the numerical results for a variety of alpha values are briefly examined. The proposed method performs well in terms of simplicity and efficiency.
| Item Type: | Article |
|---|---|
| Funders: | UNSPECIFIED |
| Uncontrolled Keywords: | Homotopy perturbation method; Elzaki transformation; Conformable derivatives; Non-linear time-fractional PDEs; Uniquence; Convergence |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Institute of Mathematical Sciences |
| Depositing User: | Ms Koh Ai Peng |
| Date Deposited: | 28 Oct 2024 08:23 |
| Last Modified: | 28 Oct 2024 08:23 |
| URI: | http://eprints.um.edu.my/id/eprint/46161 |
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