College of Science

The main aim of this thesis is oriented about finding the approximate solution of fuzzy integral equations of fractional order as follows: First studying the basic concept of the main subjects related to the work of this thesis which are so called fractional calculus and fuzzy set theory. Second studying the existence and uniqueness of solutions of the fuzzy integral equations of fractional order. Third finding the approximate solutions of the fuzzy integral equations of fractional order using Adomian decomposition method.

The aim of this work is to use the homotopy perturbation method to solve special types of the local and nonlocal problems. This study including the following aspects: (1) Give some basic concepts of the homotopy perturbation method. (2) Use the homotopy perturbation method to solve some types of differential, integral