Impulsive Coupled System of Fractional Differential Equations with Caputo-Katugampola Fuzzy Fractional Derivative

In this article, we investigate the existence, uniqueness, and different kinds of Ulam-Hyers stability of solutions of an impulsive coupled system of fractional differential equations by using the Caputo-Katugampola fuzzy fractional derivative. We applied the Perov-type fixed point theorem to prove the existence and uniqueness of the proposed system. Furthermore, the Ulam-Hyers-Rassias stability and Ulam-Hyers-Rassias-Mittag-Leffler's stability results for the given system are discussed.