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Applied Mathematical Techniques for the Stability and Solution of Hybrid Fractional Differential Systems

Author

Listed:
  • Mohammad Alakel Abazid

    (Department of Mathematics and Statistics, College of Science, King Faisal University, Hofuf 31982, Saudi Arabia)

  • Muath Awadalla

    (Department of Mathematics and Statistics, College of Science, King Faisal University, Hofuf 31982, Saudi Arabia)

  • Murugesan Manigandan

    (Center for Nonlinear and Complex Networks, SRM TRP Engineering College, Tiruchirapalli 621 105, India
    Center for Research, Easwari Engineering College, Chennai 600 089, India)

  • Jihan Alahmadi

    (Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia)

Abstract

This paper addresses a coupled system of hybrid fractional differential equations governed by non-local Hadamard-type boundary conditions. The study focuses on proving the existence, uniqueness, and stability of the system’s solutions. To achieve this, we apply Banach’s fixed point theorem and the Leray–Schauder alternative, while the stability is verified through the Ulam–Hyers framework. Additionally, a numerical example is presented to illustrate the practical relevance of the theoretical findings.

Suggested Citation

  • Mohammad Alakel Abazid & Muath Awadalla & Murugesan Manigandan & Jihan Alahmadi, 2025. "Applied Mathematical Techniques for the Stability and Solution of Hybrid Fractional Differential Systems," Mathematics, MDPI, vol. 13(6), pages 1-22, March.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:6:p:941-:d:1610804
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