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Research Article | Open Access

On the existence of solutions for multi-term p-Laplacian fractional differential equations with anti-periodic boundary conditions

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

This paper investigates the anti-periodic boundary value problem for multi-term fractional differential equations that involve the p-Laplacian operator. We establish existence results by separately applying the Leray-Schauder nonlinear alternative and the Krasnosel'skii's fixed point theorem. Finally, two illustrative examples are presented to demonstrate the effectiveness of the main results.

Keywords

multi-term fractional differential equationanti-periodic boundary conditionfixed point theoremexistence

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Electronic Research Archive
Volume 34 Issue 5,
May 2026
Pages 3593-3610
DOI: 10.3934/era.2026161

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Cite this article:
Zhang W, Xie F, Ni J. On the existence of solutions for multi-term p-Laplacian fractional differential equations with anti-periodic boundary conditions. Electronic Research Archive, 2026, 34(5): 3593-3610. https://doi.org/10.3934/era.2026161

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Received: 05 March 2026
Revised: 13 April 2026
Accepted: 17 April 2026
Published: 15 May 2026
©2026 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)