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Advances in Mathematical Physics
Volume 2014, Article ID 161580, 7 pages
http://dx.doi.org/10.1155/2014/161580
Research Article

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

1School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou 221116, China
2Department of Mathematical Sciences, University of South Africa, Pretoria, South Africa
3Department of Mathematics, University of Mazandaran, Babolsar 47415-416, Iran

Received 26 May 2014; Accepted 9 June 2014; Published 30 June 2014

Academic Editor: Xiao-Jun Yang

Copyright © 2014 Sheng-Ping Yan et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.