LOCAL FRACTIONAL VARIATIONAL ITERATION TRANSFORM METHOD: A TOOL FOR SOLVING LOCAL FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS

被引：0

作者：

Jafari, Hossein ^{[1
,2
,3
,4
]}

Jassim, Hassan kamil ^{[5
]}

Ansari, Ali ^{[6
]}

Nguyen, Van thinh ^{[7
]}

机构：

[1] Duy Tan Univ, Inst Res & Dev, Da Nang, Vietnam

[2] Duy Tan Univ, Sch Engn & Technol, Da Nang, Vietnam

[3] Univ South Africa, Dept Math Sci, UNISA, ZA-0003 Pretoria, South Africa

[4] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 110122, Taiwan

[5] Univ Thi Qar, Fac Educ Pure Sci, Dept Math, Nasiriyah, Iraq

[6] Islamic Azad Univ, Dept Math, Gorgan Branch, Gorgan, Iran

[7] Seoul Natl Univ, Dept Civil & Environm Engn, Seoul, South Korea

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2024年 / 32卷 / 04期

基金：

新加坡国家研究基金会;

关键词：

Variational Iteration Transform Method; Yang-Laplace Transform; Local Fractional Operators; Approximate Solution; NUMERICAL TECHNIQUE; DIFFUSION EQUATION;

D O I：

10.1142/S0218348X2440022X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we use the local fractional variational iteration transform method LFVITM to solve a class of linear and nonlinear partial differential equations (PDEs), as well as a system of PDEs which are involving local fractional differential operators (LFDOs). The technique combines the variational iteration transform approach and the Yang-Laplace transform. To show how effective and precise the LFVITM four examples are given.

引用

页数：8

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