Homotopy analysis transform method for solving generalized Abel's fuzzy integral equations of the first kind

In this article, we present a new method is presented to solve generalized Abel's fuzzy integral equations of the first kind. This method is based on the homotopy analysis method and Laplace transform method. By using this method, the accuracy and efficiency of homotopy analysis transform method (HATM) is shown. Convergence theorem of the proposed method is proved and some examples are solved via the mentioned algorithm. By plotting the h-curves, the convergence region is determined. The tables of errors illustrate the accuracy of the method.