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

被引:6
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
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
收藏
页数:23
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