Convergency and Error Estimate of Nonlinear Fredholm Fuzzy Integral Equations of the Second Kind by Homotopy Analysis Method

Abstract

A powerful, easy-to-use analytic tool for nonlinear problems in general, namely the homotopy analysis method, is further improved and systematically described through a typical nonlinear problem. In this paper, a Nonlinear Fredholm fuzzy integral equations is solved by using the homotopy analysis method(HAM). The approximate solution of this equation is calculated in the form of a series which its components are computed easily. The convergence and error estimate of the proposed method are proved.