Yang-Laplace Decomposition Method for Nonlinear System of Local Fractional Partial Differential Equations-Reference-Cited by-同舟云学术

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

Published:2019-07-01 Issue:2 Volume:4 Page:489-502
ISSN:2444-8656
Container-title:Applied Mathematics and Nonlinear Sciences
language:en
Short-container-title:

Author:

Ziane Djelloul¹,Cherif Mountassir Hamdi¹,Cattani Carlo²³,Belghaba Kacem¹

Affiliation:

1. Laboratory of mathematics and its applications (LAMAP) , University of Oran1 Ahmed Ben Bella , Oran , Algeria

2. Engineering School (DEIM) , Tuscia University , 01100 , Viterbo , Italy

3. Ton Duc Thang University , Ho Chi Minh City , Vietnam

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Modeling and Simulation,General Computer Science

Link

https://www.sciendo.com/pdf/10.2478/AMNS.2019.2.00046

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