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

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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… Click to show full 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.

Keywords: fuzzy differential; fractional order; differential equations; runge kutta; equations fractional

Journal Title: National Academy Science Letters
Year Published: 2020

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