On the h-manifolds for impulsive conformable neural networks with reaction–diffusion terms
Articles
Anatoliy Martynyuk
S.P. Timoshenko Institute of Mechanics
Gani Stamov
University of Texas at San Antonio
Ivanka Stamova
University of Texas at San Antonio
https://orcid.org/0000-0001-6723-2699
Published 2025-10-23
https://doi.org/10.15388/namc.2025.30.43844
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Keywords

conformable derivatives
neural networks
reaction–diffusion terms
practical stability
impulses
h-manifolds

How to Cite

Martynyuk, A., Stamov, G. and Stamova, I. (2025) “On the h-manifolds for impulsive conformable neural networks with reaction–diffusion terms: Practical stability analysis”, Nonlinear Analysis: Modelling and Control, 30(6), pp. 1211–1231. doi:10.15388/namc.2025.30.43844.

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.

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