具有 ABC 分数阶时间导数的非局部热敏电阻问题的最优控制
最优化与控制
2019-08-05 v1
摘要
我们研究了一个与非局部分数阶热敏电阻问题相关的最优控制问题,该问题涉及 ABC(Atangana-Baleanu-Caputo)分数阶时间导数。我们首先证明了解的存在唯一性。然后,我们证明存在最优控制。此外,我们得到了刻画该控制的最优性系统。
引用
@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}
}
备注
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