Positive Solutions of Eigenvalue Problems for a Class of Fractional Differential Equations with Derivatives
By establishing a maximal principle and constructing upper and lower solutions, the existence of positive solutions for the eigenvalue problem of a class of fractional differential equations is discussed. Some sufficient conditions for the existence of positive solutions are established.
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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/10.1155/2012/512127 |
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| _version_ | 1850174692519837696 |
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| author | Xinguang Zhang Lishan Liu Benchawan Wiwatanapataphee Yonghong Wu |
| author_facet | Xinguang Zhang Lishan Liu Benchawan Wiwatanapataphee Yonghong Wu |
| author_sort | Xinguang Zhang |
| collection | DOAJ |
| description | By establishing a maximal principle and constructing upper and lower solutions, the existence of positive solutions for the eigenvalue problem of a class of fractional differential equations is discussed. Some sufficient conditions for the existence of positive solutions are established. |
| format | Article |
| id | doaj-art-ca1f9a2323fc426bbad2c8bdf6777fd1 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-ca1f9a2323fc426bbad2c8bdf6777fd12025-08-20T02:19:37ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/512127512127Positive Solutions of Eigenvalue Problems for a Class of Fractional Differential Equations with DerivativesXinguang Zhang0Lishan Liu1Benchawan Wiwatanapataphee2Yonghong Wu3School of Mathematical and Informational Sciences, Yantai University, Yantai, Shandong 264005, ChinaSchool of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, ChinaDepartment of Mathematics, Faculty of Science, Mahidol University, Bangkok 10400, ThailandDepartment of Mathematics and Statistics, Curtin University of Technology, Perth, WA 6845, AustraliaBy establishing a maximal principle and constructing upper and lower solutions, the existence of positive solutions for the eigenvalue problem of a class of fractional differential equations is discussed. Some sufficient conditions for the existence of positive solutions are established.http://dx.doi.org/10.1155/2012/512127 |
| spellingShingle | Xinguang Zhang Lishan Liu Benchawan Wiwatanapataphee Yonghong Wu Positive Solutions of Eigenvalue Problems for a Class of Fractional Differential Equations with Derivatives Abstract and Applied Analysis |
| title | Positive Solutions of Eigenvalue Problems for a Class of Fractional Differential Equations with Derivatives |
| title_full | Positive Solutions of Eigenvalue Problems for a Class of Fractional Differential Equations with Derivatives |
| title_fullStr | Positive Solutions of Eigenvalue Problems for a Class of Fractional Differential Equations with Derivatives |
| title_full_unstemmed | Positive Solutions of Eigenvalue Problems for a Class of Fractional Differential Equations with Derivatives |
| title_short | Positive Solutions of Eigenvalue Problems for a Class of Fractional Differential Equations with Derivatives |
| title_sort | positive solutions of eigenvalue problems for a class of fractional differential equations with derivatives |
| url | http://dx.doi.org/10.1155/2012/512127 |
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