Positive Solutions for Boundary Value Problems of Singular Fractional Differential Equations
In this paper, by using a fixed point theorem, we investigate the existence of a positive solution to the singular fractional boundary value problem , , where , , , is Caputo fractional derivative, is singular at the value 0 of its arguments , and satisfies the Lipschitz condition.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/129640 |
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| _version_ | 1832554428517842944 |
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| author | Zhanbing Bai Weichen Sun Weihai Zhang |
| author_facet | Zhanbing Bai Weichen Sun Weihai Zhang |
| author_sort | Zhanbing Bai |
| collection | DOAJ |
| description | In this paper, by using a fixed point theorem, we investigate the existence of a positive solution to the singular fractional boundary value problem , , where , , , is Caputo fractional derivative, is singular at the value 0 of its arguments , and satisfies the Lipschitz condition. |
| format | Article |
| id | doaj-art-7be87544e7314640916dd8360702b97c |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-7be87544e7314640916dd8360702b97c2025-02-03T05:51:35ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/129640129640Positive Solutions for Boundary Value Problems of Singular Fractional Differential EquationsZhanbing Bai0Weichen Sun1Weihai Zhang2College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266590, ChinaSchool of Information and Communication Engineering, Beijing University of Posts and Telecommunications, Beijing 100876, ChinaCollege of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266590, ChinaIn this paper, by using a fixed point theorem, we investigate the existence of a positive solution to the singular fractional boundary value problem , , where , , , is Caputo fractional derivative, is singular at the value 0 of its arguments , and satisfies the Lipschitz condition.http://dx.doi.org/10.1155/2013/129640 |
| spellingShingle | Zhanbing Bai Weichen Sun Weihai Zhang Positive Solutions for Boundary Value Problems of Singular Fractional Differential Equations Abstract and Applied Analysis |
| title | Positive Solutions for Boundary Value Problems of Singular Fractional Differential Equations |
| title_full | Positive Solutions for Boundary Value Problems of Singular Fractional Differential Equations |
| title_fullStr | Positive Solutions for Boundary Value Problems of Singular Fractional Differential Equations |
| title_full_unstemmed | Positive Solutions for Boundary Value Problems of Singular Fractional Differential Equations |
| title_short | Positive Solutions for Boundary Value Problems of Singular Fractional Differential Equations |
| title_sort | positive solutions for boundary value problems of singular fractional differential equations |
| url | http://dx.doi.org/10.1155/2013/129640 |
| work_keys_str_mv | AT zhanbingbai positivesolutionsforboundaryvalueproblemsofsingularfractionaldifferentialequations AT weichensun positivesolutionsforboundaryvalueproblemsofsingularfractionaldifferentialequations AT weihaizhang positivesolutionsforboundaryvalueproblemsofsingularfractionaldifferentialequations |