Dynamic analysis of fractional-order neural networks with inertia

Abstract

<abstract><p>The existence and the S-asymptotic $ \omega $-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 $ \omega $-period of the system are achieved. In addition, an example is simulated to testify the theorem.</p></abstract>