Journal of Mathematics (Jan 2021)

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

  • Leila Sajedi,
  • Nasrin Eghbali,
  • Hassen Aydi

DOI
https://doi.org/10.1155/2021/7275934
Journal volume & issue
Vol. 2021

Abstract

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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.