Modified Fractional Runge–Kutta Method for Solving Fuzzy Differential Equations of Fractional Order

Abstract

The purpose of this research work is to solve fuzzy differential equations of fractional order under the Caputo-type. The modified fractional Runge–Kutta (R–K) method is proposed based on a generalized Runge–Kutta formula and modified trapezoidal rule. Moreover, the approach is followed to obtain a solution for fuzzy differential equations of fractional order in the sense of Caputo-type fuzzy fractional derivatives. Finally, illustrative example is provided to demonstrate the applicability, accuracy and efficiency of the proposed method.