Weak Solutions for Nonlinear Fractional Differential Equations in Banach Spaces
We discuss the existence of weak solutions for a nonlinear boundary value problem of fractional differential equations in Banach space. Our analysis relies on the Mönch's fixed point theorem combined with the technique of measures of weak noncompactness.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2012/527969 |
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| _version_ | 1850208856198610944 |
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| author | Wen-Xue Zhou Ying-Xiang Chang Hai-Zhong Liu |
| author_facet | Wen-Xue Zhou Ying-Xiang Chang Hai-Zhong Liu |
| author_sort | Wen-Xue Zhou |
| collection | DOAJ |
| description | We discuss the existence of weak solutions for a nonlinear boundary value problem of fractional differential equations in Banach space. Our analysis relies on the Mönch's fixed point theorem combined with the technique of measures of weak noncompactness. |
| format | Article |
| id | doaj-art-91afca28d8784eb5bf7c0a9d15fdcc7c |
| institution | OA Journals |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-91afca28d8784eb5bf7c0a9d15fdcc7c2025-08-20T02:10:09ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/527969527969Weak Solutions for Nonlinear Fractional Differential Equations in Banach SpacesWen-Xue Zhou0Ying-Xiang Chang1Hai-Zhong Liu2Department of Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, ChinaDepartment of Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, ChinaDepartment of Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, ChinaWe discuss the existence of weak solutions for a nonlinear boundary value problem of fractional differential equations in Banach space. Our analysis relies on the Mönch's fixed point theorem combined with the technique of measures of weak noncompactness.http://dx.doi.org/10.1155/2012/527969 |
| spellingShingle | Wen-Xue Zhou Ying-Xiang Chang Hai-Zhong Liu Weak Solutions for Nonlinear Fractional Differential Equations in Banach Spaces Discrete Dynamics in Nature and Society |
| title | Weak Solutions for Nonlinear Fractional Differential Equations in Banach Spaces |
| title_full | Weak Solutions for Nonlinear Fractional Differential Equations in Banach Spaces |
| title_fullStr | Weak Solutions for Nonlinear Fractional Differential Equations in Banach Spaces |
| title_full_unstemmed | Weak Solutions for Nonlinear Fractional Differential Equations in Banach Spaces |
| title_short | Weak Solutions for Nonlinear Fractional Differential Equations in Banach Spaces |
| title_sort | weak solutions for nonlinear fractional differential equations in banach spaces |
| url | http://dx.doi.org/10.1155/2012/527969 |
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