A novel Elzaki transform homotopy perturbation method for solving time-fractional non-linear partial differential equations
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
Divisions
MathematicalSciences
Publication Title
BOUNDARY VALUE PROBLEMS
Volume
2022
Issue
1
Publisher
SPRINGER
Publisher Location
ONE NEW YORK PLAZA, SUITE 4600, NEW YORK, NY, UNITED STATES