A Numerical Method for Solving Fuzzy Differential Equations With Fractional Order

Subject Areas : International Journal of Industrial Mathematics

N. Ahmady ¹ (Department of Mathematics, Varamin-Pishva Branch, Islamic Azad University, Varamin, Iran.)

Received: 2016-12-13 Accepted : 2017-05-03 Published : 2019-04-01

Keywords: Predictor-Corrector method, Fuzzy fractional differential equations, Caputo generalized Hukuhara differentiability,

Abstract :

In this paper we present a numerical method for fuzzy differential equation of fractional order under gH-fractional Caputo differentiability. The main idea of this method is to approximate the solution of fuzzy fractional differential equation (FFDE) by an implicit method as corrector and explicit method as predictor. This method is tested on numerical examples.