%0 Journal Article
%T A new computational method for solving the first order linear fuzzy Fredholm integro-differential equations
%A Mojtaba Ghanbari
%A Rahele Nuraei
%J Journal of Interpolation and Approximation in Scientific Computing
%D 2013
%I International Scientific Publications and Consulting Services (ISPACS)
%R 10.5899/2013/jiasc-00016
%X Recently, fuzzy integro-differential equations (FIDEs) have attracted some interest. In this paper, we focus on linear fuzzy Fredholm integro-differential equation and propose a new method for solving it. In fact, using parametric form of fuzzy numbers we convert a linear fuzzy Fredholm integro-differential equation to a linear system of Fredholm integro-differential equations in crisp case. We use variational iteration method (VIM) to obtain solution of this system and hence obtain a fuzzy solution of the linear fuzzy Fredholm integro-differential equation. Finally, using the proposed method, we give some illustrative examples.
%K "">Fuzzy functions
%K Fuzzy integro-differential equations
%K Fuzzy numbers
%K System of linear Fredholm integro-differential equations
%K Variational iteration method"/>
%U http://www.ispacs.com/journals/jiasc/2013/jiasc-00016/article.pdf