@article{Liu2024, 
author = {Wei Liu and Qinghua Zuo and Chen Xu},
title = {Finite-time and global Mittag-Leffler stability of fractional-order neural networks with S-type distributed delays},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {4},
pages = {8339-8352},
keywords = {fractional-order neural networks, S-type distributed delays, finite-time stability, global Mittag-Leffler stability},
url = {https://www.sciopen.com/article/10.3934/math.2024405},
doi = {10.3934/math.2024405},
abstract = {This paper was mainly concerned with the stability analysis of a class of fractional-order neural networks with S-type distributed delays. By using the properties of Riemann-Liouville fractional-order derivatives and integrals, along with the additivity of integration intervals and initial conditions, fractional-order integrals of the state function with S-type distributed delays were transformed into fractional-order integrals of the state function without S-type distributed delays. By virtue of the theory of contractive mapping and the Bellman-Gronwall inequality, the sufficient conditions for finite-time stability and global Mittag-Leffler stability were obtained when certain conditions were satisfied. Moreover, the correctness and realizability of the conclusion were verified through the presentation of two illustrative numerical simulation examples.}
}