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

共 50 条

[1] A novel Elzaki transform homotopy perturbation method for solving time-fractional non-linear partial differential equations
Sajad Iqbal
Francisco Martínez
Mohammed K. A. Kaabar
Mohammad Esmael Samei
Boundary Value Problems, 2022
[2] Solving time-fractional Navier–Stokes equations using homotopy perturbation Elzaki transform
Rajarama Mohan Jena
S. Chakraverty
SN Applied Sciences, 2019, 1
[3] Solving time-fractional Navier-Stokes equations using homotopy perturbation Elzaki transform
Jena, Rajarama Mohan
Chakraverty, S.
SN APPLIED SCIENCES, 2019, 1 (01):
[4] SOLVING OF THE FRACTIONAL NON-LINEAR AND LINEAR SCHRODINGER EQUATIONS BY HOMOTOPY PERTURBATION METHOD
Baleanu, Dumitru
Golmankhaneh, Alireza K.
Golmankhaneh, Ali K.
ROMANIAN JOURNAL OF PHYSICS, 2009, 54 (9-10): : 823 - 832
[5] A Hybrid Natural Transform Homotopy Perturbation Method for Solving Fractional Partial Differential Equations
Maitama, Shehu
INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 2016
[6] HOMOTOPY PERTURBATION TRANSFORM METHOD FOR SOLVING SYSTEMS OF NONLINEAR PARTIAL FRACTIONAL DIFFERENTIAL EQUATIONS
Kehaili, Abdelkader
Benali, Abdelkader
Hakem, Ali
JOURNAL OF SCIENCE AND ARTS, 2021, (02): : 355 - 364
[7] Homotopy perturbation transform method for solving fractional partial differential equations with proportional delay
Singh B.K.
Kumar P.
SeMA Journal, 2018, 75 (1) : 111 - 125
[8] Elzaki Transform Homotopy Perturbation Method for Solving Two-dimensional Time-fractional Rosenau-Hyman Equation
Singh, Inderdeep
Kumari, Umesh
MATEMATIKA, 2023, 39 (02) : 159 - 171
[9] Solving time-fractional Navier-Stokes equations using homotopy perturbation Elzaki transform (Vol 1, 16, 2019)
Jena, Rajarama Mohan
Chakraverty, S.
DISCOVER APPLIED SCIENCES, 2024, 6 (02)
[10] Homotopy Perturbation Elzaki Transform Method for Obtaining the Approximate Solutions of the Random Partial Differential Equations
Anac, Halil
Merdan, Mehmet
Kesemen, Tulay
GAZI UNIVERSITY JOURNAL OF SCIENCE, 2022, 35 (03): : 1051 - 1060

← 1 2 3 4 5 →