Upper and Lower Solution Method for Fractional Boundary Value Problems on the Half-Line
We establish the existence of unbounded solutions for nonlinear fractional boundary value problems on the half-line. By the upper and lower solution method technique, sufficient conditions for the existence of solutions for the fractional boundary value problems are established. An example is prese...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/349025 |
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| _version_ | 1850175661757431808 |
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| author | Dandan Yang Chuanzhi Bai |
| author_facet | Dandan Yang Chuanzhi Bai |
| author_sort | Dandan Yang |
| collection | DOAJ |
| description | We establish the existence of unbounded solutions for nonlinear fractional boundary value problems on the half-line. By the upper and lower solution method technique, sufficient conditions for the existence of solutions for the fractional boundary value problems are established. An example is presented to illustrate our main result. |
| format | Article |
| id | doaj-art-ba21fb9eccba4c0694161f63db95bfa6 |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-ba21fb9eccba4c0694161f63db95bfa62025-08-20T02:19:26ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/349025349025Upper and Lower Solution Method for Fractional Boundary Value Problems on the Half-LineDandan Yang0Chuanzhi Bai1Department of Mathematics, Huaiyin Normal University, Huai’an, Jiangsu 223300, ChinaDepartment of Mathematics, Huaiyin Normal University, Huai’an, Jiangsu 223300, ChinaWe establish the existence of unbounded solutions for nonlinear fractional boundary value problems on the half-line. By the upper and lower solution method technique, sufficient conditions for the existence of solutions for the fractional boundary value problems are established. An example is presented to illustrate our main result.http://dx.doi.org/10.1155/2013/349025 |
| spellingShingle | Dandan Yang Chuanzhi Bai Upper and Lower Solution Method for Fractional Boundary Value Problems on the Half-Line Journal of Applied Mathematics |
| title | Upper and Lower Solution Method for Fractional Boundary Value Problems on the Half-Line |
| title_full | Upper and Lower Solution Method for Fractional Boundary Value Problems on the Half-Line |
| title_fullStr | Upper and Lower Solution Method for Fractional Boundary Value Problems on the Half-Line |
| title_full_unstemmed | Upper and Lower Solution Method for Fractional Boundary Value Problems on the Half-Line |
| title_short | Upper and Lower Solution Method for Fractional Boundary Value Problems on the Half-Line |
| title_sort | upper and lower solution method for fractional boundary value problems on the half line |
| url | http://dx.doi.org/10.1155/2013/349025 |
| work_keys_str_mv | AT dandanyang upperandlowersolutionmethodforfractionalboundaryvalueproblemsonthehalfline AT chuanzhibai upperandlowersolutionmethodforfractionalboundaryvalueproblemsonthehalfline |