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...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2025-01-01
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| Series: | Nonlinear Analysis |
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| Online Access: | https://www.journals.vu.lt/nonlinear-analysis/article/view/38345 |
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| _version_ | 1849697579579736064 |
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| author | Jiafa Xu Yujun Cui Donal O’Regan |
| author_facet | Jiafa Xu Yujun Cui Donal O’Regan |
| author_sort | Jiafa Xu |
| collection | DOAJ |
| description |
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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| format | Article |
| id | doaj-art-711a77e424e6477386c0a9dc50b463b8 |
| institution | DOAJ |
| issn | 1392-5113 2335-8963 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj-art-711a77e424e6477386c0a9dc50b463b82025-08-20T03:19:11ZengVilnius University PressNonlinear Analysis1392-51132335-89632025-01-013010.15388/namc.2025.30.38345Positive solutions for a Hadamard-type fractional-order three-point boundary value problem on the half-lineJiafa Xu0Yujun Cui1https://orcid.org/0000-0002-6688-4748Donal O’Regan2Chongqing Normal UniversityShandong University of Science and TechnologyUniversity of Galway 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. https://www.journals.vu.lt/nonlinear-analysis/article/view/38345Hadamard-type fractional-order differential equationsboundary value problemspositive solutionsfixed-point method |
| spellingShingle | Jiafa Xu Yujun Cui Donal O’Regan Positive solutions for a Hadamard-type fractional-order three-point boundary value problem on the half-line Nonlinear Analysis Hadamard-type fractional-order differential equations boundary value problems positive solutions fixed-point method |
| title | Positive solutions for a Hadamard-type fractional-order three-point boundary value problem on the half-line |
| title_full | Positive solutions for a Hadamard-type fractional-order three-point boundary value problem on the half-line |
| title_fullStr | Positive solutions for a Hadamard-type fractional-order three-point boundary value problem on the half-line |
| title_full_unstemmed | Positive solutions for a Hadamard-type fractional-order three-point boundary value problem on the half-line |
| title_short | Positive solutions for a Hadamard-type fractional-order three-point boundary value problem on the half-line |
| title_sort | positive solutions for a hadamard type fractional order three point boundary value problem on the half line |
| topic | Hadamard-type fractional-order differential equations boundary value problems positive solutions fixed-point method |
| url | https://www.journals.vu.lt/nonlinear-analysis/article/view/38345 |
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