Existence of Mild Solutions and Controllability of Fractional Impulsive Integrodifferential Systems with Nonlocal Conditions
This paper is concerned with the existence results of nonlocal problems for a class of fractional impulsive integrodifferential equations in Banach spaces. We define a piecewise continuous control function to obtain the results on controllability of the corresponding fractional impulsive integrodiff...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2017/6979571 |
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| author | Haiyong Qin Zhenyun Gu Youliang Fu Tongxing Li |
| author_facet | Haiyong Qin Zhenyun Gu Youliang Fu Tongxing Li |
| author_sort | Haiyong Qin |
| collection | DOAJ |
| description | This paper is concerned with the existence results of nonlocal problems for a class of fractional impulsive integrodifferential equations in Banach spaces. We define a piecewise continuous control function to obtain the results on controllability of the corresponding fractional impulsive integrodifferential control systems. The results are obtained by means of fixed point methods. An example to illustrate the applications of our main results is given. |
| format | Article |
| id | doaj-art-b909da1b0ec648ad870f12a1aa3444e8 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-b909da1b0ec648ad870f12a1aa3444e82025-02-03T01:03:17ZengWileyJournal of Function Spaces2314-88962314-88882017-01-01201710.1155/2017/69795716979571Existence of Mild Solutions and Controllability of Fractional Impulsive Integrodifferential Systems with Nonlocal ConditionsHaiyong Qin0Zhenyun Gu1Youliang Fu2Tongxing Li3School of Control Science and Engineering, Shandong University, Jinan, Shandong 250061, ChinaSchool of Mathematics, Qilu Normal University, Jinan, Shandong 250013, ChinaSchool of Control Science and Engineering, Shandong University, Jinan, Shandong 250061, ChinaLinDa Institute of Shandong Provincial Key Laboratory of Network Based Intelligent Computing, Linyi University, Linyi, Shandong 276005, ChinaThis paper is concerned with the existence results of nonlocal problems for a class of fractional impulsive integrodifferential equations in Banach spaces. We define a piecewise continuous control function to obtain the results on controllability of the corresponding fractional impulsive integrodifferential control systems. The results are obtained by means of fixed point methods. An example to illustrate the applications of our main results is given.http://dx.doi.org/10.1155/2017/6979571 |
| spellingShingle | Haiyong Qin Zhenyun Gu Youliang Fu Tongxing Li Existence of Mild Solutions and Controllability of Fractional Impulsive Integrodifferential Systems with Nonlocal Conditions Journal of Function Spaces |
| title | Existence of Mild Solutions and Controllability of Fractional Impulsive Integrodifferential Systems with Nonlocal Conditions |
| title_full | Existence of Mild Solutions and Controllability of Fractional Impulsive Integrodifferential Systems with Nonlocal Conditions |
| title_fullStr | Existence of Mild Solutions and Controllability of Fractional Impulsive Integrodifferential Systems with Nonlocal Conditions |
| title_full_unstemmed | Existence of Mild Solutions and Controllability of Fractional Impulsive Integrodifferential Systems with Nonlocal Conditions |
| title_short | Existence of Mild Solutions and Controllability of Fractional Impulsive Integrodifferential Systems with Nonlocal Conditions |
| title_sort | existence of mild solutions and controllability of fractional impulsive integrodifferential systems with nonlocal conditions |
| url | http://dx.doi.org/10.1155/2017/6979571 |
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