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Mathematics > Optimization and Control

arXiv:2210.16818 (math)
[Submitted on 30 Oct 2022 (v1), last revised 23 Nov 2022 (this version, v2)]

Title:Optimal control problems governed by time-fractional diffusion equations with control constraint

Authors:Bui Trong Kien, Bui Ngoc Muoi, Ching-Feng Wen, Jen-Chih Yao
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Abstract:A class of optimal control problems governed by linear fractional diffusion equation with control constraint is considered. We first establish some results on the existence of strong solution to the state equation and the existence of optimal solutions for the optimal control problem. Then we derive first-and second-order optimality conditions for locally optimal solutions to the problem.
Subjects: Optimization and Control (math.OC)
MSC classes: 49K15
Cite as: arXiv:2210.16818 [math.OC]
  (or arXiv:2210.16818v2 [math.OC] for this version)
  https://doi.org/10.48550/arXiv.2210.16818

Submission history

From: Bui Ngoc Muoi [view email]
[v1] Sun, 30 Oct 2022 11:34:31 UTC (23 KB)
[v2] Wed, 23 Nov 2022 06:02:51 UTC (23 KB)
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