A new efficient method using Fibonacci polynomials for solving of first-order fuzzy Fredholm–Volterra integro-differential equations

In this paper, a new numerical approach based on Fibonacci polynomials is proposed for solving first-order fuzzy Fredholm–Volterra integro-differential equations of the second kind. The existence, uniqueness and convergence of the solution under generalized differentiability are proved. Because of reducing the problem into a system of linear algebraic equations, this simple method is computationally attractive. The reliability and accuracy of the presented scheme are demonstrated by several numerical experiments.