Solutions of Linear Homogeneous Fuzzy Fractional Differential Equations Using the Mittag-Leffler Function

In this paper, the Riemann–Liouville notion of fractional derivative is employed in a linear homogeneous fractional differential equation to manifest the uncertain phenomena. The impreciseness of the parameters and beginning values involved in the fractional differential equations is described in terms of the fuzzy numbers. Thus, the solution techniques for the fuzzy fractional differential equations are demonstrated constituting three distinct issues depending on the amalgamation of the fuzzy parameters and the beginning values. The fuzzy motivated calculus is presented in order to define the fuzzy fractional derivative using the idea of Hukuhara differentiability. Utilizing the theory of fuzzy fractional Laplace transformation, the solutions are obtained of the talked-about differential equations in relation to the Mittag–Leffler function.