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Impulsive coupled system of fractional differential equations with Caputo-Katugampola fuzzy fractional derivative - MaRDI portal

Impulsive coupled system of fractional differential equations with Caputo-Katugampola fuzzy fractional derivative (Q2051695)

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scientific article; zbMATH DE number 7433094
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Impulsive coupled system of fractional differential equations with Caputo-Katugampola fuzzy fractional derivative
scientific article; zbMATH DE number 7433094

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    Impulsive coupled system of fractional differential equations with Caputo-Katugampola fuzzy fractional derivative (English)
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    24 November 2021
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    Summary: 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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