Positive solutions for a Hadamard-type fractional-order three-point boundary value problem on the half-line

In this paper, we study a Hadamard-type fractional-order three-point boundary value problem on the half-line. Under some growth conditions concerning the spectral radius of the relevant linear operator, the existence and multiplicity of positive solutions is obtained using a fixed-point method. Our results improve and generalize some results in the literature.

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Publication Details

Journal
Nonlinear Analysis Modelling and Control
Published
2025-01-09
DOI
https://doi.org/10.15388/namc.2025.30.38345
Citations
3
Primary Topic
Nonlinear Differential Equations Analysis
Type
article
Field-Weighted Citation Impact
11.18

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article

Positive solutions for a Hadamard-type fractional-order three-point boundary value problem on the half-line

Jiafa Xu, Donal O’Regan, Yujun Cui
3 citations
Nonlinear Analysis Modelling and Control
Nonlinear Differential Equations Analysis
11.18
article

Positive solutions for a Hadamard-type fractional-order three-point boundary value problem on the half-line

Jiafa Xu, Donal O’Regan, Yujun Cui
article en
3 citations

Abstract

In this paper, we study a Hadamard-type fractional-order three-point boundary value problem on the half-line. Under some growth conditions concerning the spectral radius of the relevant linear operator, the existence and multiplicity of positive solutions is obtained using a fixed-point method. Our results improve and generalize some results in the literature.

Nonlinear Analysis Modelling and ControlVol. 30(2)
Chongqing Normal University (CN), Ollscoil na Gaillimhe – University of Galway (IE), Shandong University of Science and Technology (CN)
Chongqing Normal University, Chongqing Municipal Education Commission, Division of Mathematical Sciences
Openalex Percentile: Top 2%
Nonlinear Differential Equations Analysis
11.18
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