On the h-manifolds for impulsive conformable neural networks with reaction–diffusion terms

In this paper, we consider a new class of conformable impulsive reaction–diffusion neural networks. The stable behavior of h-manifolds with respect to the model is investigated, and sufficient conditions are proposed by constructing suitable Lyapunov-like functions. Our results are new and contribute to the development of the theory of impulsive conformable models. Examples are also presented to illustrate the proposed criteria.

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Publication Details

Journal
Nonlinear Analysis Modelling and Control
Published
2025-10-23
DOI
https://doi.org/10.15388/namc.2025.30.43844
Primary Topic
Neural Networks and Applications
Type
article
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On the h-manifolds for impulsive conformable neural networks with reaction–diffusion terms

Gani Stamov, Ivanka Stamova, А. А. Martynyuk
Nonlinear Analysis Modelling and Control
Neural Networks and Applications
article

On the h-manifolds for impulsive conformable neural networks with reaction–diffusion terms

Gani Stamov, Ivanka Stamova, А. А. Martynyuk
article en

Abstract

In this paper, we consider a new class of conformable impulsive reaction–diffusion neural networks. The stable behavior of h-manifolds with respect to the model is investigated, and sufficient conditions are proposed by constructing suitable Lyapunov-like functions. Our results are new and contribute to the development of the theory of impulsive conformable models. Examples are also presented to illustrate the proposed criteria.

Nonlinear Analysis Modelling and ControlVol. 30(6)
S.P. Timoshenko Institute of Mechanics (UA), The University of Texas at San Antonio (US)
Openalex Percentile: Top 84%
Neural Networks and Applications
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