Abstract
In this paper, we consider the two-dimensional nonlinear Volterra-Fredholm fuzzy integral equation (2D-NVFFIE). Homotopy analysis method (HAM) is used to determine the approximate solution of the investigated equation. We convert fuzzy Volterra-Fredholm integral equation to a system of Volterra-Fredholm integral equations in a crisp case. Hence, we obtain approximate solutions of this system and consequently obtain an approximation for the fuzzy solution of the fuzzy Volterra-Fredholm integral equation. We prove the convergence of the proposed method and find an error estimate between the exact and the approximate solution. A numerical example is given to demonstrate the validity and applicability of the proposed technique.
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