Optimal Controls for a Class of Impulsive Katugampola Fractional Differential Equations with Nonlocal Conditions
In this paper, we investigate a class of impulsive Katugampola fractional differential equations with nonlocal conditions in a Banach space. First, by using a fixed-point theorem, we obtain the existence results for a class of impulsive Katugampola fractional differential equations. Secondly, we der...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/3142801 |
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| _version_ | 1832547189595832320 |
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| author | Xingru Chen Haibo Gu Yu Sun |
| author_facet | Xingru Chen Haibo Gu Yu Sun |
| author_sort | Xingru Chen |
| collection | DOAJ |
| description | In this paper, we investigate a class of impulsive Katugampola fractional differential equations with nonlocal conditions in a Banach space. First, by using a fixed-point theorem, we obtain the existence results for a class of impulsive Katugampola fractional differential equations. Secondly, we derive the sufficient conditions for optimal controls by building approximating minimizing sequences of functions twice. |
| format | Article |
| id | doaj-art-e6f2ecf055dc4a0a9d3c6c9ad4eaf0e3 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-e6f2ecf055dc4a0a9d3c6c9ad4eaf0e32025-02-03T06:45:52ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/31428013142801Optimal Controls for a Class of Impulsive Katugampola Fractional Differential Equations with Nonlocal ConditionsXingru Chen0Haibo Gu1Yu Sun2School of Mathematics Sciences, Xinjiang Normal University, Urumqi, Xinjiang 830017, ChinaSchool of Mathematics Sciences, Xinjiang Normal University, Urumqi, Xinjiang 830017, ChinaSchool of Statistics and Data Sciences, Xinjiang University of Finance and Economics, Urumqi 830012, ChinaIn this paper, we investigate a class of impulsive Katugampola fractional differential equations with nonlocal conditions in a Banach space. First, by using a fixed-point theorem, we obtain the existence results for a class of impulsive Katugampola fractional differential equations. Secondly, we derive the sufficient conditions for optimal controls by building approximating minimizing sequences of functions twice.http://dx.doi.org/10.1155/2020/3142801 |
| spellingShingle | Xingru Chen Haibo Gu Yu Sun Optimal Controls for a Class of Impulsive Katugampola Fractional Differential Equations with Nonlocal Conditions Journal of Function Spaces |
| title | Optimal Controls for a Class of Impulsive Katugampola Fractional Differential Equations with Nonlocal Conditions |
| title_full | Optimal Controls for a Class of Impulsive Katugampola Fractional Differential Equations with Nonlocal Conditions |
| title_fullStr | Optimal Controls for a Class of Impulsive Katugampola Fractional Differential Equations with Nonlocal Conditions |
| title_full_unstemmed | Optimal Controls for a Class of Impulsive Katugampola Fractional Differential Equations with Nonlocal Conditions |
| title_short | Optimal Controls for a Class of Impulsive Katugampola Fractional Differential Equations with Nonlocal Conditions |
| title_sort | optimal controls for a class of impulsive katugampola fractional differential equations with nonlocal conditions |
| url | http://dx.doi.org/10.1155/2020/3142801 |
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