Control systems described by a class of fractional semilinear evolution equations and their relaxation property
type: Item
instance of: scholarly article
title: Control systems described by a class of fractional semilinear evolution equations and their relaxation property
zbMATH Open document ID: 1255.93071
DOI: 10.1155/2012/850529
author: Xiaoyou Liu
author: Xi Fu
published in: Abstract and Applied Analysis
publication date: 2013-02-04T00:00:00Z
review text: Summary: We consider a control system described by a class of fractional semilinear evolution equations in a separable reflexive Banach space. The constraint on the control is a multivalued map with nonconvex values which is lower semicontinuous with respect to the state variable. Along with the original system we also consider the system in which the constraint on the control is the upper semicontinuous convex-valued regularization of the original constraint. We obtain the existence results for the control systems and the relaxation property between the solution sets of these systems.
Mathematics Subject Classification ID: 93C25
zbMATH DE Number: 6134175
zbMATH Keywords: fractional semilinear evolution equations
zbMATH Keywords: upper semicontinuous convex-valued regularization
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/850529
OpenAlex ID: W2000585989
Wikidata QID: Q58696947
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description: scientific article; zbMATH DE number 6134175