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

Published 19 Mar 2019 in math.OC | (1903.07961v1)

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.

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