Existence and Uniqueness of Solutions for a Fractional Order Antiperiodic Boundary Value Problem with a p-Laplacian Operator
We study the existence and uniqueness of solutions for a class of antiperiodic boundary value problems of the fractional differential equation with a p-Laplacian operator. Based on the Leray-Schauder nonlinear alternative, several sufficient conditions of the existence and uniqueness of solution of...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/743538 |
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| _version_ | 1832556046011334656 |
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| author | Ruihui Huang |
| author_facet | Ruihui Huang |
| author_sort | Ruihui Huang |
| collection | DOAJ |
| description | We study the existence and uniqueness of solutions for a class of antiperiodic boundary value problems of the fractional differential equation with a p-Laplacian operator. Based on the Leray-Schauder nonlinear alternative, several sufficient conditions of the existence and uniqueness of solution of the above problem are established. Our results improve and complement the recent work of Chen and Liu, 2012. |
| format | Article |
| id | doaj-art-1b78fb8b6fda4565b58469a5e8c56053 |
| 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-1b78fb8b6fda4565b58469a5e8c560532025-02-03T05:46:25ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/743538743538Existence and Uniqueness of Solutions for a Fractional Order Antiperiodic Boundary Value Problem with a p-Laplacian OperatorRuihui Huang0Department of Mathematics and Statistics, Wuhan University, Wuhan, Hubei 430072, ChinaWe study the existence and uniqueness of solutions for a class of antiperiodic boundary value problems of the fractional differential equation with a p-Laplacian operator. Based on the Leray-Schauder nonlinear alternative, several sufficient conditions of the existence and uniqueness of solution of the above problem are established. Our results improve and complement the recent work of Chen and Liu, 2012.http://dx.doi.org/10.1155/2013/743538 |
| spellingShingle | Ruihui Huang Existence and Uniqueness of Solutions for a Fractional Order Antiperiodic Boundary Value Problem with a p-Laplacian Operator Abstract and Applied Analysis |
| title | Existence and Uniqueness of Solutions for a Fractional Order Antiperiodic Boundary Value Problem with a p-Laplacian Operator |
| title_full | Existence and Uniqueness of Solutions for a Fractional Order Antiperiodic Boundary Value Problem with a p-Laplacian Operator |
| title_fullStr | Existence and Uniqueness of Solutions for a Fractional Order Antiperiodic Boundary Value Problem with a p-Laplacian Operator |
| title_full_unstemmed | Existence and Uniqueness of Solutions for a Fractional Order Antiperiodic Boundary Value Problem with a p-Laplacian Operator |
| title_short | Existence and Uniqueness of Solutions for a Fractional Order Antiperiodic Boundary Value Problem with a p-Laplacian Operator |
| title_sort | existence and uniqueness of solutions for a fractional order antiperiodic boundary value problem with a p laplacian operator |
| url | http://dx.doi.org/10.1155/2013/743538 |
| work_keys_str_mv | AT ruihuihuang existenceanduniquenessofsolutionsforafractionalorderantiperiodicboundaryvalueproblemwithaplaplacianoperator |