Uniqueness and Existence of Solution for a System of Fractional q-Difference Equations
We prove the existence and uniqueness of solution for a system of fractional differential equations. Our results are based on the nonlinear alternative of Leray-Schauder type and Banach’s fixed-point theorem.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/340159 |
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| _version_ | 1832558470998523904 |
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| author | Wen-Xue Zhou Hai-zhong Liu |
| author_facet | Wen-Xue Zhou Hai-zhong Liu |
| author_sort | Wen-Xue Zhou |
| collection | DOAJ |
| description | We prove the existence and uniqueness of solution for a system of fractional differential equations. Our results are based on the nonlinear alternative of Leray-Schauder type and Banach’s fixed-point theorem. |
| format | Article |
| id | doaj-art-a07493c56fa3461e9f9d470979ba88e4 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-a07493c56fa3461e9f9d470979ba88e42025-02-03T01:32:14ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/340159340159Uniqueness and Existence of Solution for a System of Fractional q-Difference EquationsWen-Xue Zhou0Hai-zhong Liu1College of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, ChinaCollege of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, ChinaWe prove the existence and uniqueness of solution for a system of fractional differential equations. Our results are based on the nonlinear alternative of Leray-Schauder type and Banach’s fixed-point theorem.http://dx.doi.org/10.1155/2014/340159 |
| spellingShingle | Wen-Xue Zhou Hai-zhong Liu Uniqueness and Existence of Solution for a System of Fractional q-Difference Equations Abstract and Applied Analysis |
| title | Uniqueness and Existence of Solution for a System of Fractional q-Difference Equations |
| title_full | Uniqueness and Existence of Solution for a System of Fractional q-Difference Equations |
| title_fullStr | Uniqueness and Existence of Solution for a System of Fractional q-Difference Equations |
| title_full_unstemmed | Uniqueness and Existence of Solution for a System of Fractional q-Difference Equations |
| title_short | Uniqueness and Existence of Solution for a System of Fractional q-Difference Equations |
| title_sort | uniqueness and existence of solution for a system of fractional q difference equations |
| url | http://dx.doi.org/10.1155/2014/340159 |
| work_keys_str_mv | AT wenxuezhou uniquenessandexistenceofsolutionforasystemoffractionalqdifferenceequations AT haizhongliu uniquenessandexistenceofsolutionforasystemoffractionalqdifferenceequations |