Yang-Laplace Decomposition Method for Nonlinear System of Local Fractional Partial Differential Equations

被引：36

作者：

Ziane, Djelloul ^{[1
]}

Cherif, Mountassir Hamdi

Cattani, Carlo ^{[2
,3
]}

Belghaba, Kacem ^{[1
]}

机构：

[1] Univ Oran1 Ahmed Ben Bella, Lab Math & Its Applicat LAMAP, Oran, Algeria

[2] Tuscia Univ, Engn Sch DEIM, I-01100 Viterbo, Italy

[3] Ton Duc Thang Univ, Ho Chi Minh City, Vietnam

来源：

APPLIED MATHEMATICS AND NONLINEAR SCIENCES | 2019年 / 4卷 / 02期

关键词：

Local fractional derivative operator; local fractional Yang-Laplace decomposition method; nonlinear systems of local fractional partial differential equations;

D O I：

10.2478/AMNS.2019.2.00046

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The basic motivation of the present study is to extend the application of the local fractional Yang-Laplace decomposition method to solve nonlinear systems of local fractional partial differential equations. The differential operators are taken in the local fractional sense. The local fractional Yang-Laplace decomposition method (LFLDM) can be easily applied to many problems and is capable of reducing the size of computational work to find non-differentiable solutions for similar problems. Two illustrative examples are given, revealing the effectiveness and convenience of the method.

引用

页码：489 / 502

页数：14

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