Solving Fuzzy Impulsive Fractional Differential Equations by Homotopy Perturbation Method

Document Type : Full Length Article


Department of Mathematics, Islamic Azad University, Hamedan Branch, Hamedan, Iran


In this paper, we study semi-analytical methods entitled Homotopy pertourbation method (HPM) to solve fuzzy impulsive fractional differential equations based on the concept of generalized Hukuhara differentiability. At the end first of Homotopy pertourbation method is defined and its properties are considered completely. Then econvergence theorem for the solution are proved and we will show that the approximate solution convergent to the exact solution. Some examples indicate that this method can be easily applied to many linear and nonlinear problems.