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

被引：5

作者：

Iqbal, Sajad ^{[1
]}

Martinez, Francisco ^{[2
]}

Kaabar, Mohammed K. A. ^{[3
,4
]}

Samei, Mohammad Esmael ^{[5
]}

机构：

[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China

[2] Technol Univ Cartagena, Dept Appl Math & Stat, Cartagena 30203, Colombia

[3] Univ Malaya, Fac Sci, Inst Math Sci, Kuala Lumpur 50603, Malaysia

[4] Gofa Ind Coll & German Adebabay, Gofa Camp, Addis Ababa 26649, Ethiopia

[5] Bu Ali Sina Univ, Dept Math, Hamadan, Hamadan, Iran

来源：

BOUNDARY VALUE PROBLEMS | 2022年 / 2022卷 / 01期

关键词：

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

D O I：

10.1186/s13661-022-01673-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：23

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