@article{Kassim2025, 
author = {Mohammed D. Kassim},
title = {A fractional Halanay inequality for neutral systems and its application to Cohen-Grossberg neural networks},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {2},
pages = {2466-2491},
keywords = {Halanay inequality, Cohen-Grossberg neural network system, Caputo fractional derivative, neutral delay, Mittag-Leffler stability},
url = {https://www.sciopen.com/article/10.3934/math.2025115},
doi = {10.3934/math.2025115},
abstract = {We expand the Halanay inequality to accommodate fractional-order systems incorporating both discrete and distributed neutral delays. By establishing specific conditions, we demonstrate that the solutions of these systems converge to zero at a Mittag-Leffler rate. Our analysis is versatile, accommodating a wide range of delay kernels. This versatility extends the applicability of our findings to fractional Cohen-Grossberg neural networks, offering valuable insights into their stability and dynamical behavior.}
}