Optimal Controls for a Class of Impulsive Katugampola Fractional Differential Equations with Nonlocal Conditions

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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Main Authors: Xingru Chen, Haibo Gu, Yu Sun
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2020/3142801
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spelling doaj-e6f2ecf055dc4a0a9d3c6c9ad4eaf0e32020-12-14T09:46:37ZengHindawi LimitedJournal 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
collection DOAJ
language English
format Article
sources DOAJ
author Xingru Chen
Haibo Gu
Yu Sun
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
author_facet Xingru Chen
Haibo Gu
Yu Sun
author_sort Xingru Chen
title 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_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_sort optimal controls for a class of impulsive katugampola fractional differential equations with nonlocal conditions
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2020-01-01
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.
url http://dx.doi.org/10.1155/2020/3142801
work_keys_str_mv AT xingruchen optimalcontrolsforaclassofimpulsivekatugampolafractionaldifferentialequationswithnonlocalconditions
AT haibogu optimalcontrolsforaclassofimpulsivekatugampolafractionaldifferentialequationswithnonlocalconditions
AT yusun optimalcontrolsforaclassofimpulsivekatugampolafractionaldifferentialequationswithnonlocalconditions
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