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Research Article | Open Access

Existence of solutions for Hadamard fractional nonlocal boundary value problems with mean curvature operator at resonance

Teng-Fei Shen1, Jian-Gen Liu2,3( ), Xiao-Hui Shen1
School of Mathematics and Statistics, Huaibei Normal University, Huaibei 235000, Anhui, China
School of Mathematics and Statistics, Changshu Institute of Technology, Changshu 215500, Jiangsu, China
Qin Institute of Mathematics, Shanghai Hanjing Centre for Science and Technology, Yexie Town, Songjiang District, Shanghai 201609, China
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Abstract

This paper aims to study the existence of solutions for Hadamard fractional nonlocal boundary value problems with mean curvature operator at resonance. Based on the coincidence degree theory, some new results are established. Moreover, an example is given to verify our main results.

Keywords

Hadamard fractional order differential equationboundary value problemcoincidence degree theory
CLC number: 26A33, 34A08, 34B15

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AIMS Mathematics
Volume 9 Issue 10,
October 2024
Pages 28895-28905
DOI: 10.3934/math.20241402

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Cite this article:
Shen T-F, Liu J-G, Shen X-H. Existence of solutions for Hadamard fractional nonlocal boundary value problems with mean curvature operator at resonance. AIMS Mathematics, 2024, 9(10): 28895-28905. https://doi.org/10.3934/math.20241402

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Received: 22 July 2024
Revised: 02 October 2024
Accepted: 03 October 2024
Published: 15 October 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)