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

Leila Sajedi, Nasrin Eghbali, Hassen Aydi and Xiaolong Qin

Journal of Mathematics, 2021, vol. 2021, 1-13

Abstract: 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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:7275934

DOI: 10.1155/2021/7275934

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