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.

中文翻译：

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分数阶模糊微分方程的改进分数阶Runge-Kutta方法

这项研究的目的是解决Caputo型分数阶模糊微分方程。基于广义的Runge-Kutta公式和改进的梯形规则，提出了改进的分数Runge-Kutta（R-K）方法。此外，遵循这种方法从Caputo型模糊分数阶导数的意义上获得分数阶模糊微分方程的解。最后，通过举例说明该方法的适用性，准确性和有效性。