Local Fractional Adomian Decomposition and Function Decomposition Methods for Laplace Equation within Local Fractional Operators-Reference-Cited by-同舟云学术

Local Fractional Adomian Decomposition and Function Decomposition Methods for Laplace Equation within Local Fractional Operators

Published:2014 Issue: Volume:2014 Page:1-7
ISSN:1687-9120
Container-title:Advances in Mathematical Physics
language:en
Short-container-title:Advances in Mathematical Physics

Author:

Yan Sheng-Ping¹,Jafari Hossein²^ORCID,Jassim Hassan Kamil³

Affiliation:

1. School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou 221116, China

2. Department of Mathematical Sciences, University of South Africa, Pretoria, South Africa

3. Department of Mathematics, University of Mazandaran, Babolsar 47415-416, Iran

Abstract

We perform a comparison between the local fractional Adomian decomposition and local fractional function decomposition methods applied to the Laplace equation. The operators are taken in the local sense. The results illustrate the significant features of the two methods which are both very effective and straightforward for solving the differential equations with local fractional derivative.

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

Link

http://downloads.hindawi.com/journals/amp/2014/161580.pdf

Reference26 articles.

1. Fractional diffusion and wave equations

2. Fractional difference/finite element approximations for the time–space fractional telegraph equation

3. Variational iteration method for solving the space- and time-fractional KdV equation

4. Fractional Schrödinger equation

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