Nontrivial solutions for a Hadamard fractional integral boundary value problem
In this paper, we studied a Hadamard-type fractional Riemann-Stieltjes integral boundary value problem. The existence of nontrivial solutions was obtained by using the fixed-point method when the nonlinearities can be superlinear, suberlinear, and have asymptotic linear growth. Our results improved...
| Published in: | Electronic Research Archive |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2024-03-01
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2024096https://www.aimspress.com/article/doi/10.3934/era.2024096 |
| _version_ | 1850036512272416768 |
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| author | Keyu Zhang Qian Sun Jiafa Xu |
| author_facet | Keyu Zhang Qian Sun Jiafa Xu |
| author_sort | Keyu Zhang |
| collection | DOAJ |
| container_title | Electronic Research Archive |
| description | In this paper, we studied a Hadamard-type fractional Riemann-Stieltjes integral boundary value problem. The existence of nontrivial solutions was obtained by using the fixed-point method when the nonlinearities can be superlinear, suberlinear, and have asymptotic linear growth. Our results improved and generalized some results of the existing literature. |
| format | Article |
| id | doaj-art-2ecee00a72474b91bf8cb17e57ae28aa |
| institution | Directory of Open Access Journals |
| issn | 2688-1594 |
| language | English |
| publishDate | 2024-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| spelling | doaj-art-2ecee00a72474b91bf8cb17e57ae28aa2025-08-20T00:33:43ZengAIMS PressElectronic Research Archive2688-15942024-03-013232120213610.3934/era.2024096Nontrivial solutions for a Hadamard fractional integral boundary value problemKeyu Zhang0Qian Sun1Jiafa Xu21. School of Mathematics, Qilu Normal University, Jinan 250013, China2. School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China3. School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, ChinaIn this paper, we studied a Hadamard-type fractional Riemann-Stieltjes integral boundary value problem. The existence of nontrivial solutions was obtained by using the fixed-point method when the nonlinearities can be superlinear, suberlinear, and have asymptotic linear growth. Our results improved and generalized some results of the existing literature.https://www.aimspress.com/article/doi/10.3934/era.2024096https://www.aimspress.com/article/doi/10.3934/era.2024096hadamard-type fractional-order differential equationsintegral boundary value problemsnontrivial solutionstopological degree |
| spellingShingle | Keyu Zhang Qian Sun Jiafa Xu Nontrivial solutions for a Hadamard fractional integral boundary value problem hadamard-type fractional-order differential equations integral boundary value problems nontrivial solutions topological degree |
| title | Nontrivial solutions for a Hadamard fractional integral boundary value problem |
| title_full | Nontrivial solutions for a Hadamard fractional integral boundary value problem |
| title_fullStr | Nontrivial solutions for a Hadamard fractional integral boundary value problem |
| title_full_unstemmed | Nontrivial solutions for a Hadamard fractional integral boundary value problem |
| title_short | Nontrivial solutions for a Hadamard fractional integral boundary value problem |
| title_sort | nontrivial solutions for a hadamard fractional integral boundary value problem |
| topic | hadamard-type fractional-order differential equations integral boundary value problems nontrivial solutions topological degree |
| url | https://www.aimspress.com/article/doi/10.3934/era.2024096https://www.aimspress.com/article/doi/10.3934/era.2024096 |
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