Solving Fuzzy Impulsive Fractional Differential Equations by Homotopy Perturbation Method

International Journal of Mathematical Modelling & Computations

مقاله 3، دوره 8، 3 (SUMMER) - شماره پیاپی 31، آبان 2018، صفحه 153-170   

نوع مقاله: Full Length Article

نویسنده

Nematallah Najafi^*

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

چکیده

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.

کلیدواژه‌ها

Homotopy Perturbation method؛ Fuzzy Impulsive Fractional Differential؛ Generalized Hukuhara differentiability