Variational iteration method for solving n-th order fuzzy differential equations

Abstract

In this paper, the variational iteration method (VIM) is employed to solve a system of fuzzy differential equations of first order. Since every ordinary fuzzy differential equations of higher order can be converted into a fuzzy system of the first order, this method can be used for solving n-th order fuzzy differential equations. Also the convergency of VIM for this system is proved. Finally to more illustrate several examples are solved.