The Existence Results of Solutions for System of Fractional Differential Equations with Integral Boundary Conditions
In this paper, we investigated the system of fractional differential equations with integral boundary conditions. By using a fixed point theorem in the Banach spaces, we get the existence of solutions for the fractional differential system. By constructing iterative sequences for any given initial p...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2018/8534820 |
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| _version_ | 1832561731213197312 |
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| author | Dongxia Zan Run Xu |
| author_facet | Dongxia Zan Run Xu |
| author_sort | Dongxia Zan |
| collection | DOAJ |
| description | In this paper, we investigated the system of fractional differential equations with integral boundary conditions. By using a fixed point theorem in the Banach spaces, we get the existence of solutions for the fractional differential system. By constructing iterative sequences for any given initial point in space, we can approximate this solution. As an application, an example is presented to illustrate our main results. |
| format | Article |
| id | doaj-art-bddd8bf5bd03482c858f83ea453bbaa1 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-bddd8bf5bd03482c858f83ea453bbaa12025-02-03T01:24:23ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/85348208534820The Existence Results of Solutions for System of Fractional Differential Equations with Integral Boundary ConditionsDongxia Zan0Run Xu1School of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, ChinaSchool of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, ChinaIn this paper, we investigated the system of fractional differential equations with integral boundary conditions. By using a fixed point theorem in the Banach spaces, we get the existence of solutions for the fractional differential system. By constructing iterative sequences for any given initial point in space, we can approximate this solution. As an application, an example is presented to illustrate our main results.http://dx.doi.org/10.1155/2018/8534820 |
| spellingShingle | Dongxia Zan Run Xu The Existence Results of Solutions for System of Fractional Differential Equations with Integral Boundary Conditions Discrete Dynamics in Nature and Society |
| title | The Existence Results of Solutions for System of Fractional Differential Equations with Integral Boundary Conditions |
| title_full | The Existence Results of Solutions for System of Fractional Differential Equations with Integral Boundary Conditions |
| title_fullStr | The Existence Results of Solutions for System of Fractional Differential Equations with Integral Boundary Conditions |
| title_full_unstemmed | The Existence Results of Solutions for System of Fractional Differential Equations with Integral Boundary Conditions |
| title_short | The Existence Results of Solutions for System of Fractional Differential Equations with Integral Boundary Conditions |
| title_sort | existence results of solutions for system of fractional differential equations with integral boundary conditions |
| url | http://dx.doi.org/10.1155/2018/8534820 |
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