Solving linear and nonlinear Abel fuzzy integral equations by homotopy analysis method

Abstract

The main purpose of this article is to present an approximation method for solving Abel fuzzy integral equation in the most general form. The proposed approach is based on homotopy analysis method. This method transforms linear and nonlinear Abel fuzzy integral equations into two crisp linear and nonlinear integral equations. The convergence analysis for the proposed method is also introduced. We give some numerical applications to show efficiency and accuracy of the method. All of the numerical computations have been performed on a computer with the aid of a program written in Matlab.