A fractional Halanay inequality for neutral systems and its application to Cohen-Grossberg neural networks

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, accommoda...

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Bibliographic Details
Published inAIMS mathematics Vol. 10; no. 2; pp. 2466 - 2491
Main Author Kassim, Mohammed D.
Format Journal Article
LanguageEnglish
Published AIMS Press 01.02.2025
Subjects
caputo fractional derivative
cohen-grossberg neural network system
halanay inequality
mittag-leffler stability
neutral delay
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ISSN2473-6988
2473-6988
DOI10.3934/math.2025115

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Summary: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.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2025115