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research-article

Enlarged Controllability of Riemann-Liouville Fractional Differential Equations

[+] Author and Article Information
Touria Karite

PhD Student, TSI Team, MACS Laboratory, Department of Mathematics and Computer Science, Institute of Sciences, Moulay Ismail University, Meknes, Morocco
touria.karite@gmail.com

Ali Boutoulout

Full Professor, Coordinator of TSI Team & MACS Laboratory, Department of Mathematics and Computer Science, Institute of Sciences, Moulay Ismail University, Meknes, Morocco
boutouloutali@yahoo.fr

Delfim F. M. Torres

Full Professor, Coordinator of the Systems and Control Group, Center for Research & Development in Mathematics and Applications (CIDMA), Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal
delfim@ua.pt

1Corresponding author.

ASME doi:10.1115/1.4038450 History: Received August 10, 2017; Revised November 05, 2017

Abstract

We investigate exact enlarge controllability for time fractional diffusion systems of Riemann-Liouville type. The Hilbert uniqueness method is used to prove exact enlarge controllability for both cases of zone and pointwise actuators. A penalization method is given and the minimum energy control is characterized.

Copyright (c) 2017 by ASME
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