"Enlarged Controllability and Optimal Control of Sub-Diffusion Processe" by Touria Karite, Ali Boutoulout et al.

Progress in Fractional Differentiation & Applications

Article Title

Enlarged Controllability and Optimal Control of Sub-Diffusion Processes with Caputo Fractional Derivatives

Authors

Touria Karite, TSI Team, MACS Laboratory, Department of Mathematics & Computer Science, Institute of Sciences, Moulay Ismail University, Meknes, Morocco
Ali Boutoulout
Delfim F. M. Torres

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

Recommended Citation

Karite, Touria; Boutoulout, Ali; and F. M. Torres, Delfim (2020) "Enlarged Controllability and Optimal Control of Sub-Diffusion Processes with Caputo Fractional Derivatives," Progress in Fractional Differentiation & Applications: Vol. 6: Iss. 2, Article 1.
DOI: http://dx.doi.org/10.18576/pfda/060201
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol6/iss2/1

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