Analysis of Coupled System of Implicit Fractional Differential Equations Involving Katugampola–Caputo Fractional Derivative

Manzoor Ahmad, Jiqiang Jiang, Akbar Zada, Syed Omar Shah and Jiafa Xu

Complexity, 2020, vol. 2020, 1-11

Abstract:

In this paper, we study the existence and uniqueness of solutions to implicit the coupled fractional differential system with the Katugampola–Caputo fractional derivative. Different fixed-point theorems are used to acquire the required results. Moreover, we derive some sufficient conditions to guarantee that the solutions to our considered system are Hyers–Ulam stable. We also provided an example that explains our results.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:9285686

DOI: 10.1155/2020/9285686

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