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

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.