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

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  • Leila Sajedi
  • Nasrin Eghbali
  • Hassen Aydi
  • Xiaolong Qin

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.

Suggested Citation

  • Leila Sajedi & Nasrin Eghbali & Hassen Aydi & Xiaolong Qin, 2021. "Impulsive Coupled System of Fractional Differential Equations with Caputo–Katugampola Fuzzy Fractional Derivative," Journal of Mathematics, Hindawi, vol. 2021, pages 1-13, October.
    • Handle: RePEc:hin:jjmath:7275934
    DOI: 10.1155/2021/7275934
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    Cited by:

    1. Qun Dai & Yunying Zhang, 2023. "Stability of Nonlinear Implicit Differential Equations with Caputo–Katugampola Fractional Derivative," Mathematics, MDPI, vol. 11(14), pages 1-12, July.

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