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Research Article | Open Access

Positive solutions for a Riemann-Liouville-type impulsive fractional integral boundary value problem

Keyu Zhang1, Qian Sun2,3( ), Donal O'Regan4, Jiafa Xu5
School of Mathematics, Qilu Normal University, Jinan 250013, China
School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China
School of Mathematics and Statistics, Ludong University, Yantai 264025, China
School of Mathematical and Statistical Sciences, University of Galway, Galway, Ireland
School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, China
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Abstract

In this work, we investigate a Riemann-Liouville-type impulsive fractional integral boundary value problem. Using the fixed point index, we obtain two existence theorems on positive solutions under some conditions concerning the spectral radius of the relevant linear operator. Our method improves and generalizes some results in the literature.

Keywords

fractional-order differential equationsintegral boundary value problemsimpulsepositive solutionsfixed point index
CLC number: 34B10, 34B15, 34B18

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AIMS Mathematics
Volume 9 Issue 5,
May 2024
Pages 10911-10925
DOI: 10.3934/math.2024533

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Cite this article:
Zhang K, Sun Q, O'Regan D, et al. Positive solutions for a Riemann-Liouville-type impulsive fractional integral boundary value problem. AIMS Mathematics, 2024, 9(5): 10911-10925. https://doi.org/10.3934/math.2024533

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Received: 25 January 2024
Revised: 04 March 2024
Accepted: 12 March 2024
Published: 15 May 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)