Adomian decomposition method for solving two-dimensional nonlinear Volterra fuzzy integral equations

A numerical method for solving two-dimensional nonlinear Volterra fuzzy integral equation (2D-NVFIE) of the second kind will is introduced. We convert a nonlinear Volterra fuzzy integral equation to a nonlinear system of Volterra integral equation in crisp case. We use Adomian Decomposition Method (ADM) to find the approximate solution of this system and hence obtain an approximation for fuzzy solution of the nonlinear Volterra fuzzy integral equation. Also, the existence and uniqueness of the solution and convergence of the proposed method are proved. Some numerical examples are included to demonstrate the validity and applicability of the proposed technique.