Optimal control problems governed by time-fractional diffusion equations with control constraint
Optimization and Control
2022-11-24 v2
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.
Cite
@article{arxiv.2210.16818,
title = {Optimal control problems governed by time-fractional diffusion equations with control constraint},
author = {Bui Trong Kien and Bui Ngoc Muoi and Ching-Feng Wen and Jen-Chih Yao},
journal= {arXiv preprint arXiv:2210.16818},
year = {2022}
}