Existence and Nonexistence of Positive Solutions for Fractional Three-Point Boundary Value Problems with a Parameter
In this work, we investigate the existence and nonexistence of positive solutions for p-Laplacian fractional differential equation with a parameter. On the basis of the properties of Green’s function and Guo-Krasnosel’skii fixed point theorem on cones, the existence and nonexistence of positive solu...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2019/9237856 |
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| _version_ | 1832550803452198912 |
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| author | Yunhong Li Weihua Jiang |
| author_facet | Yunhong Li Weihua Jiang |
| author_sort | Yunhong Li |
| collection | DOAJ |
| description | In this work, we investigate the existence and nonexistence of positive solutions for p-Laplacian fractional differential equation with a parameter. On the basis of the properties of Green’s function and Guo-Krasnosel’skii fixed point theorem on cones, the existence and nonexistence of positive solutions are obtained for the boundary value problems. We also give some examples to illustrate the effectiveness of our main results. |
| format | Article |
| id | doaj-art-d232c8ac64ae4283b89345165c7f3c49 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-d232c8ac64ae4283b89345165c7f3c492025-02-03T06:05:50ZengWileyJournal of Function Spaces2314-88962314-88882019-01-01201910.1155/2019/92378569237856Existence and Nonexistence of Positive Solutions for Fractional Three-Point Boundary Value Problems with a ParameterYunhong Li0Weihua Jiang1School of Sciences, Hebei University of Science and Technology, Shijiazhuang, 050018 Hebei, ChinaSchool of Sciences, Hebei University of Science and Technology, Shijiazhuang, 050018 Hebei, ChinaIn this work, we investigate the existence and nonexistence of positive solutions for p-Laplacian fractional differential equation with a parameter. On the basis of the properties of Green’s function and Guo-Krasnosel’skii fixed point theorem on cones, the existence and nonexistence of positive solutions are obtained for the boundary value problems. We also give some examples to illustrate the effectiveness of our main results.http://dx.doi.org/10.1155/2019/9237856 |
| spellingShingle | Yunhong Li Weihua Jiang Existence and Nonexistence of Positive Solutions for Fractional Three-Point Boundary Value Problems with a Parameter Journal of Function Spaces |
| title | Existence and Nonexistence of Positive Solutions for Fractional Three-Point Boundary Value Problems with a Parameter |
| title_full | Existence and Nonexistence of Positive Solutions for Fractional Three-Point Boundary Value Problems with a Parameter |
| title_fullStr | Existence and Nonexistence of Positive Solutions for Fractional Three-Point Boundary Value Problems with a Parameter |
| title_full_unstemmed | Existence and Nonexistence of Positive Solutions for Fractional Three-Point Boundary Value Problems with a Parameter |
| title_short | Existence and Nonexistence of Positive Solutions for Fractional Three-Point Boundary Value Problems with a Parameter |
| title_sort | existence and nonexistence of positive solutions for fractional three point boundary value problems with a parameter |
| url | http://dx.doi.org/10.1155/2019/9237856 |
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