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

Authors

• Sajad Iqbal
• Francisco Martinez
• Mohammed K. A. Kaabar
• Mohammad Esmael Samei

Document Type

Article

Publication Date

11-1-2022

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.

Keywords

Homotopy perturbation method, Elzaki transformation, Conformable derivatives, Non-linear time-fractional PDEs, Uniquence, Convergence

Publication Title

BOUNDARY VALUE PROBLEMS

Recommended Citation

Iqbal, Sajad; Martinez, Francisco; Kaabar, Mohammed K. A.; and Samei, Mohammad Esmael, "A novel Elzaki transform homotopy perturbation method for solving time-fractional non-linear partial differential equations" (2022). Research Publications (2021 to 2025). 1488.
https://knova.um.edu.my/research_publications_2021_2025/1488

Divisions

MathematicalSciences

Volume

2022

Issue

1

Publisher

SPRINGER

Publisher Location

ONE NEW YORK PLAZA, SUITE 4600, NEW YORK, NY, UNITED STATES