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Global ML Stability of the Delayed Fractional-Order Coupled Reaction-Diffusion System on Networks without Strong Connectedness

In: Analysis and Control for Fractional-order Systems

Author

Listed:
  • Yonggui Kao

    (Harbin Institute of Technology (Weihai), Department of Mathematics)

  • Changhong Wang

    (Harbin Institute of Technology, School of Astronautics)

  • Hongwei Xia

    (Harbin Institute of Technology, School of Astronautics)

  • Yue Cao

    (Harbin Institute of Technology (Weihai), Department of Mathematics)

Abstract

This chapter primarily focuses on examining the existence of solutions and the global Mittag-Leffler stability in delayed fractional-order coupled reaction-diffusion system, particularly when strong connectedness is absent. We employ Leary-Schauder’s fixed point theorem and the Lyapunov method to establish criteria for both solution existence and global Mittag-Leffler stability. To validate the theoretical framework, we provide a numerical example demonstrating its applicability.

Suggested Citation

  • Yonggui Kao & Changhong Wang & Hongwei Xia & Yue Cao, 2024. "Global ML Stability of the Delayed Fractional-Order Coupled Reaction-Diffusion System on Networks without Strong Connectedness," Springer Books, in: Analysis and Control for Fractional-order Systems, chapter 0, pages 97-120, Springer.
    • Handle: RePEc:spr:sprchp:978-981-99-6054-5_6
    DOI: 10.1007/978-981-99-6054-5_6
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