On the Existence and Uniqueness for High Order Fuzzy Fractional Differential Equations with Uncertainty

Abstract

A class fuzzy fractional differential equation (FFDE) involving Riemann-Liouville H-differentiability of arbitrary order q > 1 is considered. Using Krasnoselskii-Krein type conditions, Kooi type conditions, and Rogers conditions we establish the uniqueness and existence of the solution after determining the equivalent integral form of the solution.