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

Leila Sajedi | Zendy; Nasrin Eghbali | Zendy; Hassen Aydi | Zendy

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

Author(s) -

Leila Sajedi,

Nasrin Eghbali,

Hassen Aydi

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/7275934

Subject(s) - mathematics , uniqueness , fractional calculus , fixed point theorem , stability (learning theory) , differential equation , type (biology) , derivative (finance) , fuzzy logic , mathematical analysis , computer science , ecology , machine learning , financial economics , economics , biology , artificial intelligence

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.

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