Blow-Up Solutions for a Singular Nonlinear Hadamard Fractional Boundary Value Problem
We consider singular nonlinear Hadamard fractional boundary value problems. Using properties of Green’s function and a fixed point theorem, we show that the problem has positive solutions which blow up. Finally, some examples are provided to explain the applications of the results.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/6268427 |
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| _version_ | 1832563366348980224 |
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| author | Imed Bachar Said Mesloub |
| author_facet | Imed Bachar Said Mesloub |
| author_sort | Imed Bachar |
| collection | DOAJ |
| description | We consider singular nonlinear Hadamard fractional boundary value problems. Using properties of Green’s function and a fixed point theorem, we show that the problem has positive solutions which blow up. Finally, some examples are provided to explain the applications of the results. |
| format | Article |
| id | doaj-art-7dc46f374de74a4aa479255e3ca65c2d |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-7dc46f374de74a4aa479255e3ca65c2d2025-02-03T01:20:21ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/62684276268427Blow-Up Solutions for a Singular Nonlinear Hadamard Fractional Boundary Value ProblemImed Bachar0Said Mesloub1Mathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaMathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaWe consider singular nonlinear Hadamard fractional boundary value problems. Using properties of Green’s function and a fixed point theorem, we show that the problem has positive solutions which blow up. Finally, some examples are provided to explain the applications of the results.http://dx.doi.org/10.1155/2020/6268427 |
| spellingShingle | Imed Bachar Said Mesloub Blow-Up Solutions for a Singular Nonlinear Hadamard Fractional Boundary Value Problem Journal of Function Spaces |
| title | Blow-Up Solutions for a Singular Nonlinear Hadamard Fractional Boundary Value Problem |
| title_full | Blow-Up Solutions for a Singular Nonlinear Hadamard Fractional Boundary Value Problem |
| title_fullStr | Blow-Up Solutions for a Singular Nonlinear Hadamard Fractional Boundary Value Problem |
| title_full_unstemmed | Blow-Up Solutions for a Singular Nonlinear Hadamard Fractional Boundary Value Problem |
| title_short | Blow-Up Solutions for a Singular Nonlinear Hadamard Fractional Boundary Value Problem |
| title_sort | blow up solutions for a singular nonlinear hadamard fractional boundary value problem |
| url | http://dx.doi.org/10.1155/2020/6268427 |
| work_keys_str_mv | AT imedbachar blowupsolutionsforasingularnonlinearhadamardfractionalboundaryvalueproblem AT saidmesloub blowupsolutionsforasingularnonlinearhadamardfractionalboundaryvalueproblem |