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Title: Optimal control of a nonlocal thermistor problem with ABC fractional time derivatives
Author: Ammi, Moulay Rchid Sidi
Torres, Delfim F. M.
Keywords: ABC fractional derivatives
Fractional partial differential equations
Existence of solutions
Optimal control
Issue Date: 1-Sep-2019
Publisher: Elsevier
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.
Peer review: yes
DOI: 10.1016/j.camwa.2019.03.043
ISSN: 0898-1221
Appears in Collections:CIDMA - Artigos
DMat - Artigos
SCG - Artigos

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