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

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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.

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Authors and Affiliations

  1. Department of Mathematics, Bharathiar University, Coimbatore, 641046, India

    S. Narayanamoorthy & K. Thangapandi

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  1. S. Narayanamoorthy
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  2. K. Thangapandi
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Correspondence to S. Narayanamoorthy.

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Narayanamoorthy, S., Thangapandi, K. Modified Fractional Runge–Kutta Method for Solving Fuzzy Differential Equations of Fractional Order. Natl. Acad. Sci. Lett. 43, 355–359 (2020). https://doi.org/10.1007/s40009-019-00867-1

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  • DOI: https://doi.org/10.1007/s40009-019-00867-1

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