Dynamic analysis of fractional-order neural networks with inertia

被引：0
|
作者：
Li, Zhiying [1 ]
Jiang, Wangdong [1 ]
Zhang, Yuehong [1 ]
机构：
[1] Shaoxing Univ, Yuanpei Coll, Fundamental Educ Dept, Shaoxing 312000, Peoples R China
来源：
AIMS MATHEMATICS | 2022年 / 7卷 / 09期
关键词：
fractional-order neural networks; contraction mapping principle; inertia; existence; S-asymptotic ? -periodic; MITTAG-LEFFLER STABILITY; OMEGA-PERIODICITY; SYNCHRONIZATION; MODELS;
D O I：
10.3934/math.2022927
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The existence and the S-asymptotic omega-periodic of the solution in fractional-order CohenGrossberg 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.
引用
收藏
页码：16889 / 16906
页数：18
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