Approximate solution of nonlinear mixed Volterra-Fredholm fuzzy integral equations using the Adomian method

A numerical method for solving two-dimensional nonlinear Volterra-Fradholm fuzzy integral equation (2D-NVFFIE) of the second kind will is introduced. We convert a nonlinear Volterra-Fredholm fuzzy integral equation to a nonlinear system of Volterra-Fredholm 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-Fredholm fuzzy integral equation. Also, the existence and uniqueness of the solution and convergence of the proposed method are proved. Numerical example is included to demonstrate the validity and applicability of the proposed technique.