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Title: Optimal controls for nonlocal Cauchy problems of multi-term fractional evolution equations
Abstract

This paper is mainly concerned with a controlled multi-term fractional evolution equation in Banach spaces. Firstly, we give formula of its mild solutions and show the existence result for the problem via $\omega $-sectorial operator technique. Secondly, we establish the Lagrange optimal control and time optimal control for the system invoked by the nonlocal Cauchy problems of multi-term fractional evolution equation by properties of resolvent operators.

 
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NSF-PAR ID:
10372226
Author(s) / Creator(s):
;
Publisher / Repository:
Oxford University Press
Date Published:
Journal Name:
IMA Journal of Mathematical Control and Information
Volume:
39
Issue:
3
ISSN:
0265-0754
Page Range / eLocation ID:
p. 912-929
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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