Iterative method for approximate solution of fuzzy integro-differential equations

In this paper, we interpret a nonlinear fuzzy Fredholm integro-differential equations by using the strongly generalized differentiability concept. Based on the parametric form of a fuzzy number, a fuzzy integro-differential equation converts to two systems of integro-differential equations in the crisp case. Also, we use the parametric form of fuzzy number, and an iterative approach for obtaining approximate solution for a class of nonlinear fuzzy Fredholm integro-differential equation of the second kind is proposed. This paper presents a method based on Newton-Cotes methods with positive coefficient. Then we obtain approximate solution of the nonlinear fuzzy integro-differential equations by an iterative approach.