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

Jingfeng Wang; Chuanzhi Bai; Jingfeng Wang; Chuanzhi Bai

doi:10.3934/math.20231148

AIMS Mathematics

2023, Volume 8, Issue 10: 22538-22552. doi: 10.3934/math.20231148

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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

Received: 26 April 2023 Revised: 01 July 2023 Accepted: 09 July 2023 Published: 17 July 2023
MSC : 92B20, 34A08, 34K20

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.
- global Mittag-Leffler stability,
- Caputo fractional order,
- fuzzy inertial neural networks
Citation: Jingfeng Wang, Chuanzhi Bai. Global Mittag-Leffler stability of Caputo fractional-order fuzzy inertial neural networks with delay[J]. AIMS Mathematics, 2023, 8(10): 22538-22552. doi: 10.3934/math.20231148

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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.

References

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