Optimal control of a nonlocal thermistor problem with ABC fractional time derivatives

被引：13
|
作者：
Sidi Ammi, Moulay Rchid [1 ]
Torres, Delfim F. M. [2 ]
机构：
[1] Moulay Ismail Univ, Fac Sci & Tech, AMNEA Grp, Dept Math, BP 509, Errachidia, Morocco
[2] Univ Aveiro, Ctr Res & Dev Math & Applicat CIDMA, Dept Math, P-3810193 Aveiro, Portugal
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2019年 / 78卷 / 05期
关键词：
ABC fractional derivatives; Fractional partial differential equations; Existence of solutions; Optimal control; EXISTENCE;
D O I：
10.1016/j.camwa.2019.03.043
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (C) 2019 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1507 / 1516
页数：10
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