Using parametric form of fuzzy functions, we convert a linear two-dimensional fuzzy Fredholm integral equation of the second kind (2D-FFIE-2) to a linear system of Fredholm integral equations of the second kind with three variables in crisp case. In this paper an iterative method is presented to find the approximate solution of 2D-FFIE-2. Also a proof of convergence of this method is discussed in detail. Finally, the proposed method is illustrated by two numerical example.

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In this paper, we introduce and define a new metric on the space of fuzzy continuous functions in the fractional calculus. Regarding this metric and using the well-known Banach fixed point theorem, we provide some conditions that guarantee the existence and uniqueness of solution to a nonlinear fuzzy fractional differential equation in the proposed metric. Finally, two examples are given to illustrate the results.