This paper deals with the application of fuzzy Mellin transform for fuzzy valued functions. It is an attempt to investigate fuzzy Mellin transform in fractional sense and is called fuzzy fractional Mellin transform. Some techniques are proposed for the solution of fuzzy fractional order differential equations by using left-sided Riemann–Liouville fractional derivative. Moreover, some illustrative examples are solved to show the capability and effectiveness of fuzzy Mellin transforms method by converting it into a general solution for an analogous equation with the left-sided Riemann–Liouville derivative and then presenting its explicit representation.

本文讨论模糊梅林变换在模糊值函数中的应用。它是在分数意义上研究模糊梅林变换的一种尝试，称为模糊分数梅林变换。提出了一些通过使用左侧 Riemann-Liouville 分数阶导数来求解模糊分数阶微分方程的技术。此外，通过将模糊梅林变换方法转换为具有左侧 Riemann-Liouville 导数的类比方程的一般解，然后给出其显式表示，解决了一些说明性示例以显示模糊梅林变换方法的能力和有效性。