Ulam-Hyers stability of uncertain functional differential equation in fuzzy setting with Caputo-Hadamard fractional derivative concept

Abstract

In this work, by using the Caputo-Hadamard fractional derivative concept, we propose a new class of fuzzy functional differential equation. In this sense, we establish the existence of the solution, the Ulam-Hyers stability and the Ulam-Hyers-Mittag-Leffler stability for the given problem by means of successive approximation method.