Analysis of Coupled System of Implicit Fractional Differential Equations Involving Katugampola–Caputo Fractional Derivative. (21st April 2020)

• Record Type: Journal Article
• Authors: Ahmad, Manzoor; Jiang, Jiqiang; Zada, Akbar; Shah, Syed Omar; Xu, Jiafa
• Other Names: Wei Yan-Ling Academic Editor.
• Is Part Of: Complexity. Volume 2020(2020)
• Publication Date: 2020-04-21
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2020/9285686
• Languages: English
• ISSNs: 1076-2787

Abstract

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.