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Advances in Fuzzy Systems
Volume 2012, Article ID 407647, 16 pages
http://dx.doi.org/10.1155/2012/407647
Research Article

Series Solution of the System of Fuzzy Differential Equations

1Dipartimento di Mathematica e Informatica, Università degli Stueli di Perugia, 06123, Italy
2Department of Mathematics and Computer Science, Engineering and Technical Faculty, University of Bonab, Bonab 55517, Iran

Received 9 April 2012; Accepted 28 June 2012

Academic Editor: Rustom M. Mamlook

Copyright © 2012 M. S. Hashemi 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

The homotopy analysis method (HAM) is proposed to obtain a semianalytical solution of the system of fuzzy differential equations (SFDE). The HAM contains the auxiliary parameter ħ, which provides us with a simple way to adjust and control the convergence region of solution series. Concept of ħ-meshes and contour plots firstly are introduced in this paper which are the generations of traditional h-curves. Convergency of this method for the SFDE has been considered and some examples are given to illustrate the efficiency and power of HAM.