Optimal controls for a class of impulsive fractional differential equations with nonlocal conditions
Abstract In this paper, we investigate a class of impulsive fractional differential equations with nonlocal conditions in a Banach space. Firstly, we utilize a fixed point theorem to obtain the existence of solution. Secondly, we derive the sufficient conditions for optimal controls by building appr...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-04-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-018-1579-x |
| _version_ | 1819160665615499264 |
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| author | Yu Sun Haibo Gu Yanhui Zhang Xingru Chen Xingzhao Wang |
| author_facet | Yu Sun Haibo Gu Yanhui Zhang Xingru Chen Xingzhao Wang |
| author_sort | Yu Sun |
| collection | DOAJ |
| description | Abstract In this paper, we investigate a class of impulsive fractional differential equations with nonlocal conditions in a Banach space. Firstly, we utilize a fixed point theorem to obtain the existence of solution. Secondly, we derive the sufficient conditions for optimal controls by building approximating minimizing sequences of functions twice. |
| first_indexed | 2024-12-22T17:00:04Z |
| format | Article |
| id | doaj.art-613d07f3aa90495690ebd3fb63e18510 |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-22T17:00:04Z |
| publishDate | 2018-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-613d07f3aa90495690ebd3fb63e185102022-12-21T18:19:21ZengSpringerOpenAdvances in Difference Equations1687-18472018-04-012018111210.1186/s13662-018-1579-xOptimal controls for a class of impulsive fractional differential equations with nonlocal conditionsYu Sun0Haibo Gu1Yanhui Zhang2Xingru Chen3Xingzhao Wang4School of Mathematics Sciences, Xinjiang Normal UniversitySchool of Mathematics Sciences, Xinjiang Normal UniversitySchool of Mathematics Sciences, Xinjiang Normal UniversitySchool of Mathematics Sciences, Xinjiang Normal UniversitySchool of Mathematics Sciences, Xinjiang Normal UniversityAbstract In this paper, we investigate a class of impulsive fractional differential equations with nonlocal conditions in a Banach space. Firstly, we utilize a fixed point theorem to obtain the existence of solution. Secondly, we derive the sufficient conditions for optimal controls by building approximating minimizing sequences of functions twice.http://link.springer.com/article/10.1186/s13662-018-1579-xFractional differential equationsNonlocal conditionsFractional impulsive conditionsOptimal controls |
| spellingShingle | Yu Sun Haibo Gu Yanhui Zhang Xingru Chen Xingzhao Wang Optimal controls for a class of impulsive fractional differential equations with nonlocal conditions Advances in Difference Equations Fractional differential equations Nonlocal conditions Fractional impulsive conditions Optimal controls |
| title | Optimal controls for a class of impulsive fractional differential equations with nonlocal conditions |
| title_full | Optimal controls for a class of impulsive fractional differential equations with nonlocal conditions |
| title_fullStr | Optimal controls for a class of impulsive fractional differential equations with nonlocal conditions |
| title_full_unstemmed | Optimal controls for a class of impulsive fractional differential equations with nonlocal conditions |
| title_short | Optimal controls for a class of impulsive fractional differential equations with nonlocal conditions |
| title_sort | optimal controls for a class of impulsive fractional differential equations with nonlocal conditions |
| topic | Fractional differential equations Nonlocal conditions Fractional impulsive conditions Optimal controls |
| url | http://link.springer.com/article/10.1186/s13662-018-1579-x |
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