Existence of Solutions for Fractional Integro-Differential Equation with Multipoint Boundary Value Problem in Banach Spaces
By means of the fixed-point theorem in the cone of strict-set-contraction operators, we consider the existence of a nonlinear multi-point boundary value problem of fractional integro-differential equation in a Banach space. In addition, an example to illustrate the main results is given.
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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: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/172963 |
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| _version_ | 1832552228715495424 |
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| author | Yulin Zhao Li Huang Xuebin Wang Xianyang Zhu |
| author_facet | Yulin Zhao Li Huang Xuebin Wang Xianyang Zhu |
| author_sort | Yulin Zhao |
| collection | DOAJ |
| description | By means of the fixed-point theorem in the cone of strict-set-contraction operators, we consider the existence of a nonlinear multi-point boundary value problem of fractional integro-differential equation in a Banach space. In addition, an example to illustrate the main results is given. |
| format | Article |
| id | doaj-art-69970411082249c791799750727eb0fa |
| 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-69970411082249c791799750727eb0fa2025-02-03T05:59:17ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/172963172963Existence of Solutions for Fractional Integro-Differential Equation with Multipoint Boundary Value Problem in Banach SpacesYulin Zhao0Li Huang1Xuebin Wang2Xianyang Zhu3School of Science, Hunan University of Technology, Zhuzhou 412007, ChinaSchool of Science, Hunan University of Technology, Zhuzhou 412007, ChinaSchool of Science, Hunan University of Technology, Zhuzhou 412007, ChinaDepartment of Mathematics, Jinggangshan Uiversity, Ji’an 343009, ChinaBy means of the fixed-point theorem in the cone of strict-set-contraction operators, we consider the existence of a nonlinear multi-point boundary value problem of fractional integro-differential equation in a Banach space. In addition, an example to illustrate the main results is given.http://dx.doi.org/10.1155/2012/172963 |
| spellingShingle | Yulin Zhao Li Huang Xuebin Wang Xianyang Zhu Existence of Solutions for Fractional Integro-Differential Equation with Multipoint Boundary Value Problem in Banach Spaces Abstract and Applied Analysis |
| title | Existence of Solutions for Fractional Integro-Differential Equation with Multipoint Boundary Value Problem in Banach Spaces |
| title_full | Existence of Solutions for Fractional Integro-Differential Equation with Multipoint Boundary Value Problem in Banach Spaces |
| title_fullStr | Existence of Solutions for Fractional Integro-Differential Equation with Multipoint Boundary Value Problem in Banach Spaces |
| title_full_unstemmed | Existence of Solutions for Fractional Integro-Differential Equation with Multipoint Boundary Value Problem in Banach Spaces |
| title_short | Existence of Solutions for Fractional Integro-Differential Equation with Multipoint Boundary Value Problem in Banach Spaces |
| title_sort | existence of solutions for fractional integro differential equation with multipoint boundary value problem in banach spaces |
| url | http://dx.doi.org/10.1155/2012/172963 |
| work_keys_str_mv | AT yulinzhao existenceofsolutionsforfractionalintegrodifferentialequationwithmultipointboundaryvalueprobleminbanachspaces AT lihuang existenceofsolutionsforfractionalintegrodifferentialequationwithmultipointboundaryvalueprobleminbanachspaces AT xuebinwang existenceofsolutionsforfractionalintegrodifferentialequationwithmultipointboundaryvalueprobleminbanachspaces AT xianyangzhu existenceofsolutionsforfractionalintegrodifferentialequationwithmultipointboundaryvalueprobleminbanachspaces |