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Existence Results and Finite-Time Stability of a Fractional ( p , q )-Integro-Difference System

Author

Listed:
  • Mouataz Billah Mesmouli

    (Department of Mathematics, College of Science, University of Ha’il, Ha’il 2440, Saudi Arabia)

  • Loredana Florentina Iambor

    (Department of Mathematics and Computer Science, University of Oradea, 410087 Oradea, Romania)

  • Amir Abdel Menaem

    (Department of Automated Electrical Systems, Ural Power Engineering Institute, Ural Federal University, 620002 Yekaterinburg, Russia)

  • Taher S. Hassan

    (Department of Mathematics, College of Science, University of Ha’il, Ha’il 2440, Saudi Arabia
    Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
    Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186 Rome, Italy)

Abstract

In this article, we mainly generalize the results in the literature for a fractional q -difference equation. Our study considers a more comprehensive type of fractional p , q -difference system of nonlinear equations. By the Banach contraction mapping principle, we obtain a unique solution. By Krasnoselskii’s fixed-point theorem, we prove the existence of solutions. In addition, finite stability has been established too. The main results in the literature have been proven to be a particular corollary of our work.

Suggested Citation

  • Mouataz Billah Mesmouli & Loredana Florentina Iambor & Amir Abdel Menaem & Taher S. Hassan, 2024. "Existence Results and Finite-Time Stability of a Fractional ( p , q )-Integro-Difference System," Mathematics, MDPI, vol. 12(9), pages 1-12, May.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:9:p:1399-:d:1388232
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    References listed on IDEAS

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    1. Du, Feifei & Jia, Baoguo, 2020. "Finite time stability of fractional delay difference systems: A discrete delayed Mittag-Leffler matrix function approach," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
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