@article{Li2025, 
author = {Zhiying Li and Wei Liu},
title = {The anti-periodic solutions of incommensurate fractional-order Cohen-Grossberg neural network with inertia},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {2},
pages = {3180-3196},
keywords = {incommensurate, fractional-order, Cohen-Grossberg neural networks, anti-periodic solution, global asymptotical stability},
url = {https://www.sciopen.com/article/10.3934/math.2025147},
doi = {10.3934/math.2025147},
abstract = {A class of incommensurate fractional-order Cohen-Grossberg neural networks with inertia was investigated in this paper. First, the sufficient conditions for the boundedness of the solutions of the system were derived using the properties of fractional-order calculus. Second, by constructing a sequence of solutions in the system and using the Ascoli-Arzela theorem, the sufficient conditions for the existence of an anti-period solution and the global asymptotical stability of the system were deduced. Finally, the correctness of theoretical reasoning results was verified by a numerical simulation.}
}