@article{Li2022, 
author = {Zhiying Li and Wangdong Jiang and Yuehong Zhang},
title = {Dynamic analysis of fractional-order neural networks with inertia},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {9},
pages = {16889-16906},
keywords = {fractional-order neural networks, contraction mapping principle, inertia, existence, S-asymptotic ω-periodic},
url = {https://www.sciopen.com/article/10.3934/math.2022927},
doi = {10.3934/math.2022927},
abstract = {The existence and the S-asymptotic    ω-periodic of the solution in fractional-order Cohen-Grossberg neural networks with inertia are studied in this paper. Based on the properties of the Riemann-Liouville (R-L) fractional-order derivative and integral, the contraction mapping principle, and the Arzela-Ascoli theorem, sufficient conditions for the existence and the S-asymptotic    ω-period of the system are achieved. In addition, an example is simulated to testify the theorem.}
}