Fuzzy Fractional Differential Equation Involving the Fuzzy Conformable Derivative and the α−Semigroups

Abstract

In this work, we discuss solutions to the abstract Cauchy problem of fuzzy conformal fractional. In addition, the method of fuzzy fractional semigroups is used to obtain analytical solutions to the fractional differential equation. We use the concept of Krasnoselskii’s fixed point theorem to determine the existence and uniqueness of the solution. An application is also given to illustrate our main abstract results.