Solvability of a Hadamard Fractional Boundary Value Problem at Resonance on Infinite Domain
This paper investigates the existence of solutions for Hadamard fractional differential equations with integral boundary conditions at resonance on infinite domain. By constructing two suitable Banach spaces, establishing an appropriate compactness criterion, and defining appropriate projectors, we...
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2024/5554742 |
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| _version_ | 1850169162659266560 |
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| author | Xingfang Feng Yucheng Li |
| author_facet | Xingfang Feng Yucheng Li |
| author_sort | Xingfang Feng |
| collection | DOAJ |
| description | This paper investigates the existence of solutions for Hadamard fractional differential equations with integral boundary conditions at resonance on infinite domain. By constructing two suitable Banach spaces, establishing an appropriate compactness criterion, and defining appropriate projectors, we study an existence theorem upon the coincidence degree theory of Mawhin. An example is given to illustrate our main result. |
| format | Article |
| id | doaj-art-a68470efeeae452d9db267ada5e950f6 |
| institution | OA Journals |
| issn | 2314-8888 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-a68470efeeae452d9db267ada5e950f62025-08-20T02:20:48ZengWileyJournal of Function Spaces2314-88882024-01-01202410.1155/2024/5554742Solvability of a Hadamard Fractional Boundary Value Problem at Resonance on Infinite DomainXingfang Feng0Yucheng Li1Department of MathematicsDepartment of MathematicsThis paper investigates the existence of solutions for Hadamard fractional differential equations with integral boundary conditions at resonance on infinite domain. By constructing two suitable Banach spaces, establishing an appropriate compactness criterion, and defining appropriate projectors, we study an existence theorem upon the coincidence degree theory of Mawhin. An example is given to illustrate our main result.http://dx.doi.org/10.1155/2024/5554742 |
| spellingShingle | Xingfang Feng Yucheng Li Solvability of a Hadamard Fractional Boundary Value Problem at Resonance on Infinite Domain Journal of Function Spaces |
| title | Solvability of a Hadamard Fractional Boundary Value Problem at Resonance on Infinite Domain |
| title_full | Solvability of a Hadamard Fractional Boundary Value Problem at Resonance on Infinite Domain |
| title_fullStr | Solvability of a Hadamard Fractional Boundary Value Problem at Resonance on Infinite Domain |
| title_full_unstemmed | Solvability of a Hadamard Fractional Boundary Value Problem at Resonance on Infinite Domain |
| title_short | Solvability of a Hadamard Fractional Boundary Value Problem at Resonance on Infinite Domain |
| title_sort | solvability of a hadamard fractional boundary value problem at resonance on infinite domain |
| url | http://dx.doi.org/10.1155/2024/5554742 |
| work_keys_str_mv | AT xingfangfeng solvabilityofahadamardfractionalboundaryvalueproblematresonanceoninfinitedomain AT yuchengli solvabilityofahadamardfractionalboundaryvalueproblematresonanceoninfinitedomain |