Controllability of nonlinear fractional evolution systems in Banach spaces: a survey
type: Item
instance of: scholarly article
title: Controllability of nonlinear fractional evolution systems in Banach spaces: a survey
zbMATH Open document ID: 1478.93070
author: Daliang Zhao
author: Yansheng Liu
published in: Electronic Research Archive
publication date: 2021-12-03T00:00:00Z
review text: In this paper, authors have presented a survey for some recent research on the controllability of nonlinear fractional evolution systems (FESs) in Banach spaces. The prime focus is exact controllability and approximate controllability of several types of FESs, which include the basic systems with classical initial and nonlocal initial conditions, FESs with a time delay or impulsive effects. Furthermore, controllability results via resolvent operator are reviewed in details. Finally, the conclusions of this work and the research prospect are presented, which provides a reference for further studies.
reviewed by: Yong Kui Chang
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93C25
Mathematics Subject Classification ID: 34K30
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 37L05
zbMATH DE Number: 7438945
zbMATH Keywords: controllability
zbMATH Keywords: fractional evolution systems
zbMATH Keywords: mild solutions
zbMATH Keywords: impulse
zbMATH Keywords: time delay
zbMATH Keywords: fixed point theorem
MaRDI profile type: Publication
full work available at URL: era.2021083
OpenAlex ID: W3205943594
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Controllability of nonlinear fractional evolution systems in Banach spaces: a survey (DOI)
DOI: 10.3934/ERA.2021083