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Research Article | Open Access

Well-posedness of a triply coupled system of fractional Langevin equations with closed boundary conditions

Wei Zhang( ), Zhongyuan Wang, Yu Zhang, Jinbo Ni
School of Mathematics and Big Data, Anhui University of Science and Technology, Huainan 232001, Anhui, China
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Abstract

In this paper, we investigated a class of nonlinear triply coupled systems of fractional Langevin equations subject to closed boundary conditions. The existence of solutions to the proposed boundary value problem was first established by applying Krasnoselskii's fixed point theorem. Furthermore, the uniqueness of the solution was obtained via the Banach contraction mapping principle. To demonstrate the effectiveness of the theoretical results, illustrative examples are provided.

Keywords

triply coupled systemfractional Langevin equationclosed boundary conditionexistence and uniquenessfixed point theorem

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Electronic Research Archive
Volume 33 Issue 11,
November 2025
Pages 7017-7033
DOI: 10.3934/era.2025309

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Cite this article:
Zhang W, Wang Z, Zhang Y, et al. Well-posedness of a triply coupled system of fractional Langevin equations with closed boundary conditions. Electronic Research Archive, 2025, 33(11): 7017-7033. https://doi.org/10.3934/era.2025309

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Received: 28 September 2025
Revised: 06 November 2025
Accepted: 14 November 2025
Published: 20 November 2025
©2025 the Author(s), licensee AIMS Press.

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