AIMS Mathematics (Jul 2022)

Dynamic analysis of fractional-order neural networks with inertia

  • Zhiying Li ,
  • Wangdong Jiang ,
  • Yuehong Zhang

DOI
https://doi.org/10.3934/math.2022927
Journal volume & issue
Vol. 7, no. 9
pp. 16889 – 16906

Abstract

Read online

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.

Keywords