A novel Elzaki transform homotopy perturbation method for solving time-fractional non-linear partial differential equations

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.

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Official URL: https://doi.org/10.1186/s13661-022-01673-3

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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