New Controllability Results of Fractional Nonlocal Semilinear Evolution Systems with Finite Delay

New Controllability Results of Fractional Nonlocal Semilinear Evolution Systems with Finite Delay

In the present paper, sufficient conditions ensuring the complete controllability for a class of semilinear fractional nonlocal evolution systems with finite delay in Banach spaces are derived. The new results are obtained under a weaker definition of complete controllability we introduced, and then...

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Main Authors: Daliang Zhao, Juan Mao
Format: Article
Language:English
Published: Hindawi-Wiley 2020-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2020/7652648
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spelling doaj-d778bca140604da0ad995424c006a65d2020-11-25T03:29:20ZengHindawi-WileyComplexity1076-27871099-05262020-01-01202010.1155/2020/76526487652648New Controllability Results of Fractional Nonlocal Semilinear Evolution Systems with Finite DelayDaliang Zhao0Juan Mao1School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, ChinaDepartment of Basic Courses, Shandong Polytechnic, Jinan 250104, ChinaIn the present paper, sufficient conditions ensuring the complete controllability for a class of semilinear fractional nonlocal evolution systems with finite delay in Banach spaces are derived. The new results are obtained under a weaker definition of complete controllability we introduced, and then the Lipschitz continuity and other growth conditions for the nonlinearity and nonlocal item are not required in comparison with the existing literatures. In addition, an appropriate complete space and a corresponding time delay item are introduced to conquer the difficulties caused by time delay. Our main tools are properties of resolvent operators, theory of measure of noncompactness, and Mönch fixed point theorem.http://dx.doi.org/10.1155/2020/7652648
collection DOAJ
language English
format Article
sources DOAJ
author Daliang Zhao
Juan Mao
spellingShingle Daliang Zhao
Juan Mao
New Controllability Results of Fractional Nonlocal Semilinear Evolution Systems with Finite Delay
Complexity
author_facet Daliang Zhao
Juan Mao
author_sort Daliang Zhao
title New Controllability Results of Fractional Nonlocal Semilinear Evolution Systems with Finite Delay
title_short New Controllability Results of Fractional Nonlocal Semilinear Evolution Systems with Finite Delay
title_full New Controllability Results of Fractional Nonlocal Semilinear Evolution Systems with Finite Delay
title_fullStr New Controllability Results of Fractional Nonlocal Semilinear Evolution Systems with Finite Delay
title_full_unstemmed New Controllability Results of Fractional Nonlocal Semilinear Evolution Systems with Finite Delay
title_sort new controllability results of fractional nonlocal semilinear evolution systems with finite delay
publisher Hindawi-Wiley
series Complexity
issn 1076-2787
1099-0526
publishDate 2020-01-01
description In the present paper, sufficient conditions ensuring the complete controllability for a class of semilinear fractional nonlocal evolution systems with finite delay in Banach spaces are derived. The new results are obtained under a weaker definition of complete controllability we introduced, and then the Lipschitz continuity and other growth conditions for the nonlinearity and nonlocal item are not required in comparison with the existing literatures. In addition, an appropriate complete space and a corresponding time delay item are introduced to conquer the difficulties caused by time delay. Our main tools are properties of resolvent operators, theory of measure of noncompactness, and Mönch fixed point theorem.
url http://dx.doi.org/10.1155/2020/7652648
work_keys_str_mv AT daliangzhao newcontrollabilityresultsoffractionalnonlocalsemilinearevolutionsystemswithfinitedelay
AT juanmao newcontrollabilityresultsoffractionalnonlocalsemilinearevolutionsystemswithfinitedelay
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