Global stability analysis of S-asymptotically ω-periodic oscillation in fractional-order cellular neural networks with time variable delays

Abstract A delayed cellular neural networks with Caputo fractional-order derivative has been discussed in this paper. Firstly, the existence and uniqueness of S-asymptotically ω-periodic oscillation of the model are investigated by some important features of Mittag-Leffler functions and contraction mapping principle. Secondly, global asymptotical stability of the model is also studied by using Laplace transform, comparison principle and stability theorem of linear delayed Caputo fractional-order differential equations. Some better results are derived to improve and extend a few existing research findings. The research thoughts in this literature could be applied to research other fractional-order models in neural networks and physical areas.