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

Author

Listed:
  • Manzoor Ahmad
  • Jiqiang Jiang
  • Akbar Zada
  • Syed Omar Shah
  • Jiafa Xu

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.

Suggested Citation

  • Manzoor Ahmad & Jiqiang Jiang & Akbar Zada & Syed Omar Shah & Jiafa Xu, 2020. "Analysis of Coupled System of Implicit Fractional Differential Equations Involving Katugampola–Caputo Fractional Derivative," Complexity, Hindawi, vol. 2020, pages 1-11, April.
    • Handle: RePEc:hin:complx:9285686
    DOI: 10.1155/2020/9285686
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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.
    2. Usman Riaz & Akbar Zada & Zeeshan Ali & Ioan-Lucian Popa & Shahram Rezapour & Sina Etemad, 2021. "On a Riemann–Liouville Type Implicit Coupled System via Generalized Boundary Conditions," Mathematics, MDPI, vol. 9(11), pages 1-22, May.

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