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Research Article | Open Access

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

Jingfeng Wang, Chuanzhi Bai( )
Department of Mathematics, Huaiyin Normal University, Huaian, Jiangsu 223300, China
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Abstract

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.

Keywords

global Mittag-Leffler stabilityCaputo fractional orderfuzzy inertial neural networks
CLC number: 92B20, 34A08, 34K20

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AIMS Mathematics
Volume 8 Issue 10,
October 2023
Pages 22538-22552
DOI: 10.3934/math.20231148

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Cite this article:
Wang J, Bai C. Global Mittag-Leffler stability of Caputo fractional-order fuzzy inertial neural networks with delay. AIMS Mathematics, 2023, 8(10): 22538-22552. https://doi.org/10.3934/math.20231148

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Received: 26 April 2023
Revised: 01 July 2023
Accepted: 09 July 2023
Published: 15 October 2023
©2023 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)