Global Mittag-Leffler stability of Caputo fractional-order fuzzy inertial neural networks with delay

Jingfeng Wang; Chuanzhi Bai

doi:10.3934/math.20231148

AIMS Mathematics (Jul 2023)

Global Mittag-Leffler stability of Caputo fractional-order fuzzy inertial neural networks with delay

Jingfeng Wang ,
Chuanzhi Bai

Affiliations

Jingfeng Wang: Department of Mathematics, Huaiyin Normal University, Huaian, Jiangsu 223300, China
Chuanzhi Bai: Department of Mathematics, Huaiyin Normal University, Huaian, Jiangsu 223300, China

DOI: https://doi.org/10.3934/math.20231148
Journal volume & issue: Vol. 8, no. 10
pp. 22538 – 22552

Abstract

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This paper deals with the global Mittag-Leffler stability (GMLS) of Caputo fractional-order fuzzy inertial neural networks with time delay (CFOFINND). Based on Lyapunov stability theory and global fractional Halanay inequalities, the existence of unique equilibrium point and GMLS of CFOFINND have been established. A numerical example is given to illustrate the effectiveness of our results.

Published in AIMS Mathematics

ISSN: 2473-6988 (Online)
Publisher: AIMS Press
Country of publisher: United States
LCC subjects: Science: Mathematics
Website: http://www.aimspress.com/journal/Math

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