Homotopy Analysis Method to Solve Two-Dimensional Fuzzy Fredholm Integral Equation

In this paper, homotopy analysis method is proposed to solve a linear two- dimensional fuzzy Fredholm integral equation of the second kind (2D-FFIE-2). We use parametric form of fuzzy functions and convert a 2D-FFIE-2 to a linear system of Fredholm integral equations of the second kind with three variables in crisp case. We use the homotopy analysis method to nd the approximate solution of the converted system, which is the approximate solution for 2D- FFIE-2. The solved problems reveal that the proposed method is e ective and simple, and in some cases, it gives the exact solution.