Analysis of solutions for the fractional differential equation with Hadamard-type
We mainly consider the existence and stability results of the positive solutions for the fractional differential equation with Hadamard-type by applying fixed point theorems, if the nonlinearity may be continuous or singular. We also construct some examples to show the applicability of the results.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2023-10-01
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| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2023-0131 |
| _version_ | 1797653333533523968 |
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| author | Zhu Huijuan Ru Yuanfang Wang Fanglei |
| author_facet | Zhu Huijuan Ru Yuanfang Wang Fanglei |
| author_sort | Zhu Huijuan |
| collection | DOAJ |
| description | We mainly consider the existence and stability results of the positive solutions for the fractional differential equation with Hadamard-type by applying fixed point theorems, if the nonlinearity may be continuous or singular. We also construct some examples to show the applicability of the results. |
| first_indexed | 2024-03-11T16:43:08Z |
| format | Article |
| id | doaj.art-3424071d5ad342d9ab6f216c189c7777 |
| institution | Directory Open Access Journal |
| issn | 2391-5455 |
| language | English |
| last_indexed | 2024-03-11T16:43:08Z |
| publishDate | 2023-10-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Mathematics |
| spelling | doaj.art-3424071d5ad342d9ab6f216c189c77772023-10-23T07:50:38ZengDe GruyterOpen Mathematics2391-54552023-10-012113911810.1515/math-2023-0131Analysis of solutions for the fractional differential equation with Hadamard-typeZhu Huijuan0Ru Yuanfang1Wang Fanglei2School of Mathematics, Hohai University, Nanjing 210098, P. R. ChinaCollege of Science, China Pharmaceutical University, Nanjing, 211198, P. R. ChinaSchool of Mathematics, Hohai University, Nanjing 210098, P. R. ChinaWe mainly consider the existence and stability results of the positive solutions for the fractional differential equation with Hadamard-type by applying fixed point theorems, if the nonlinearity may be continuous or singular. We also construct some examples to show the applicability of the results.https://doi.org/10.1515/math-2023-0131hadamard fractional boundary value problemexistence and uniquenesspositive solutionsfixed point theoremulam-hyers stability34c2534b15 |
| spellingShingle | Zhu Huijuan Ru Yuanfang Wang Fanglei Analysis of solutions for the fractional differential equation with Hadamard-type Open Mathematics hadamard fractional boundary value problem existence and uniqueness positive solutions fixed point theorem ulam-hyers stability 34c25 34b15 |
| title | Analysis of solutions for the fractional differential equation with Hadamard-type |
| title_full | Analysis of solutions for the fractional differential equation with Hadamard-type |
| title_fullStr | Analysis of solutions for the fractional differential equation with Hadamard-type |
| title_full_unstemmed | Analysis of solutions for the fractional differential equation with Hadamard-type |
| title_short | Analysis of solutions for the fractional differential equation with Hadamard-type |
| title_sort | analysis of solutions for the fractional differential equation with hadamard type |
| topic | hadamard fractional boundary value problem existence and uniqueness positive solutions fixed point theorem ulam-hyers stability 34c25 34b15 |
| url | https://doi.org/10.1515/math-2023-0131 |
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