Solving Fuzzy Impulsive Fractional Differential Equations by Reproducing Kernel Hilbert Space Method

Subject Areas : International Journal of Mathematical Modelling & Computations

nematallah najafi ¹ , nader Biranvand ²

1 - Department of Mathematics, Islamic Azad University, Hamedan Branch, Hamedan, Iran
2 - Faculty of Sciences, Imam Ali Officers University, Tehran, Iran

Received: 2019-11-30 Accepted : 2020-02-25 Published : 2020-03-01

Keywords: ‎Reproducing kernel Hilbert space method, ‎Fuzzy impulsive fractional differential‎, ‎Generalized Hukuhara differentiability,

Abstract :

The aim of this paper is to use the Reproducing kernel Hilbert Space Method (RKHSM) to solve the linear and nonlinear fuzzy impulsive fractional differential equations. Finding the numerical solutionsof this class of equations are a difficult topic to analyze. In this study, convergence analysis, estimations error and bounds errors are discussed in detail under some hypotheses which provide the theoretical basis of the proposed algorithm. Some numerical examples indicate that this method is an efficient one to solve the mentioned equations.