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