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

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.

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

References in corpus (3)

• Optimal Control of Nonlocal Thermistor Equations
• Analysis of fractional integro-differential equations of thermistor type
• Necessary Optimality Conditions for a Dead Oil Isotherm Optimal Control Problem

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