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

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.

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Publication Details

Journal
Electronic Research Archive
Published
2025-01-01
DOI
https://doi.org/10.3934/era.2025179
Primary Topic
Nonlinear Differential Equations Analysis
Type
article
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article

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

Xin Liu, Haixia Li
Electronic Research Archive
Nonlinear Differential Equations Analysis
article

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

Xin Liu, Haixia Li
article en

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.

Electronic Research ArchiveVol. 33(6)
Ningxia Water Conservancy (CN)
Openalex Percentile: Top 78%
Nonlinear Differential Equations Analysis
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Positive solutions for a Caputo-type fractional differential equation with a Riemann-Stieltjes integral boundary condition — Xin Liu, Haixia Li · Electronic Research Archive (2025) | TGRS Research Map | TGRS