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Author Country (or Countries)

Morocco

Abstract

The present paper investigates the exact enlarged controllability and optimal control of a fractional diffusion equation in Caputo sense. This is done through a new definition of enlarged controllability that allows us to extend available contributions. Moreover, the problem is explored using two approaches: a reverse Hilbert uniqueness method, generalizing the approach introduced by Lions in 1988, and a penalization method, which allows us to characterize the minimum energy control.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/060201

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