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Research Article | Open Access

Positive solutions for a Caputo-type fractional differential equation with a Riemann-Stieltjes integral boundary condition

Haixia Li( ), Xin Liu
School of Basic Teaching Department, Shandong Water Conservancy Vocational College, Rizhao 276826, China
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Abstract

In this paper, we study the solvability of positive solutions for a Caputo-type fractional-order Riemann-Stieltjes integral boundary value problem. Under some monotonicity conditions for the nonlinearity, we use the upper-lower solution method to obtain two existence theorems.

Keywords

Caputo-type fractional-order differential equationsintegral boundary value problemspositive solutionsupper-lower solution method

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Electronic Research Archive
Volume 33 Issue 6,
June 2025
Pages 4027-4044
DOI: 10.3934/era.2025179

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Cite this article:
Li H, Liu X. Positive solutions for a Caputo-type fractional differential equation with a Riemann-Stieltjes integral boundary condition. Electronic Research Archive, 2025, 33(6): 4027-4044. https://doi.org/10.3934/era.2025179

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Received: 28 February 2025
Revised: 26 May 2025
Accepted: 18 June 2025
Published: 25 June 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)