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Research Article | Open Access

Nontrivial solutions for a Hadamard fractional integral boundary value problem

Keyu Zhang1, Qian Sun2( ), Jiafa Xu3
School of Mathematics, Qilu Normal University, Jinan 250013, China
School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China
School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, China
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Abstract

In this paper, we studied a Hadamard-type fractional Riemann-Stieltjes integral boundary value problem. The existence of nontrivial solutions was obtained by using the fixed-point method when the nonlinearities can be superlinear, suberlinear, and have asymptotic linear growth. Our results improved and generalized some results of the existing literature.

Keywords

Hadamard-type fractional-order differential equationsintegral boundary value problemsnontrivial solutionstopological degree

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Electronic Research Archive
Volume 32 Issue 3,
March 2024
Pages 2120-2136
DOI: 10.3934/era.2024096

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Cite this article:
Zhang K, Sun Q, Xu J. Nontrivial solutions for a Hadamard fractional integral boundary value problem. Electronic Research Archive, 2024, 32(3): 2120-2136. https://doi.org/10.3934/era.2024096

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Received: 25 January 2024
Revised: 02 March 2024
Accepted: 06 March 2024
Published: 13 March 2024
©2024 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)