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Research Article | Open Access

Random uniform attractors for fractional stochastic FitzHugh-Nagumo lattice systems

Xintao Li( ), Yunlong Gao
School of Mathematics and Statistics, Liupanshui Normal University, Liupanshui 553004, China
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Abstract

The present study focuses on the asymptotic behavior of fractional stochastic FitzHugh-Nagumo lattice systems with multiplicative noise. First, we investigate the well-posedness of solutions for these stochastic systems and subsequently establish the existence and uniqueness of tempered random uniform attractors.

Keywords

fractional stochastic FitzHugh-Nagumo lattice systemsmultiplicative noiserandom uniform attractoralmost periodic symbol
CLC number: 35B40, 35B41, 37L30

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AIMS Mathematics
Volume 9 Issue 8,
August 2024
Pages 22251-22270
DOI: 10.3934/math.20241083

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Cite this article:
Li X, Gao Y. Random uniform attractors for fractional stochastic FitzHugh-Nagumo lattice systems. AIMS Mathematics, 2024, 9(8): 22251-22270. https://doi.org/10.3934/math.20241083

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Received: 30 May 2024
Revised: 01 July 2024
Accepted: 09 July 2024
Published: 15 August 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)