Optimal control of a nonlocal thermistor problem with ABC fractional time derivatives
Optimization and Control
2019-08-05 v1
Abstract
We study an optimal control problem associated to a fractional nonlocal thermistor problem involving the ABC (Atangana-Baleanu-Caputo) fractional time derivative. We first prove the existence and uniqueness of solution. Then, we show that an optimal control exists. Moreover, we obtain the optimality system that characterizes the control.
Keywords
Cite
@article{arxiv.1903.07961,
title = {Optimal control of a nonlocal thermistor problem with ABC fractional time derivatives},
author = {Moulay Rchid Sidi Ammi and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1903.07961},
year = {2019}
}
Comments
This is a preprint of a paper whose final and definite form is with 'Computers and Mathematics with Applications', ISSN 0898-1221. Submitted 8-Sept-2018; revised 16-March-2019; accepted for publication 19-March-2019