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Research Article | Open Access

Dynamic analysis of fractional-order neural networks with inertia

Zhiying Li, Wangdong Jiang( ), Yuehong Zhang
The Fundamental Education Department of Yuanpei College, Shaoxing University, Shaoxing 312000, China
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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.

Keywords

fractional-order neural networkscontraction mapping principleinertiaexistenceS-asymptotic ω-periodic
CLC number: 45M05

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AIMS Mathematics
Volume 7 Issue 9,
September 2022
Pages 16889-16906
DOI: 10.3934/math.2022927

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Cite this article:
Li Z, Jiang W, Zhang Y. Dynamic analysis of fractional-order neural networks with inertia. AIMS Mathematics, 2022, 7(9): 16889-16906. https://doi.org/10.3934/math.2022927

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Received: 23 May 2022
Revised: 28 June 2022
Accepted: 01 July 2022
Published: 15 September 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)