Positive Solutions of a Fractional Boundary Value Problem with Changing Sign Nonlinearity
We discuss the existence of positive solutions of a boundary value problem of nonlinear fractional differential equation with changing sign nonlinearity. We first derive some properties of the associated Green function and then obtain some results on the existence of positive solutions by means of t...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/149849 |
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| _version_ | 1832563193972523008 |
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| author | Yongqing Wang Lishan Liu Yonghong Wu |
| author_facet | Yongqing Wang Lishan Liu Yonghong Wu |
| author_sort | Yongqing Wang |
| collection | DOAJ |
| description | We discuss the existence of positive solutions of a boundary value problem of nonlinear fractional differential equation with changing sign nonlinearity. We first derive some properties of the associated Green function and then obtain some results on the existence of positive solutions by means of the Krasnoselskii's fixed point theorem in a cone. |
| format | Article |
| id | doaj-art-f93212b475164873b14ab3d24175db2b |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-f93212b475164873b14ab3d24175db2b2025-02-03T01:20:54ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/149849149849Positive Solutions of a Fractional Boundary Value Problem with Changing Sign NonlinearityYongqing Wang0Lishan Liu1Yonghong Wu2School of Mathematical Sciences, Qufu Normal University, Shandong, Qufu 273165, ChinaSchool of Mathematical Sciences, Qufu Normal University, Shandong, Qufu 273165, ChinaDepartment of Mathematics and Statistics, Curtin University of Technology, Perth, WA 6845, AustraliaWe discuss the existence of positive solutions of a boundary value problem of nonlinear fractional differential equation with changing sign nonlinearity. We first derive some properties of the associated Green function and then obtain some results on the existence of positive solutions by means of the Krasnoselskii's fixed point theorem in a cone.http://dx.doi.org/10.1155/2012/149849 |
| spellingShingle | Yongqing Wang Lishan Liu Yonghong Wu Positive Solutions of a Fractional Boundary Value Problem with Changing Sign Nonlinearity Abstract and Applied Analysis |
| title | Positive Solutions of a Fractional Boundary Value Problem with Changing Sign Nonlinearity |
| title_full | Positive Solutions of a Fractional Boundary Value Problem with Changing Sign Nonlinearity |
| title_fullStr | Positive Solutions of a Fractional Boundary Value Problem with Changing Sign Nonlinearity |
| title_full_unstemmed | Positive Solutions of a Fractional Boundary Value Problem with Changing Sign Nonlinearity |
| title_short | Positive Solutions of a Fractional Boundary Value Problem with Changing Sign Nonlinearity |
| title_sort | positive solutions of a fractional boundary value problem with changing sign nonlinearity |
| url | http://dx.doi.org/10.1155/2012/149849 |
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