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)
Karite, Touria; Boutoulout, Ali; and F. M. Torres, Delfim
"Enlarged Controllability and Optimal Control of Sub-Diffusion Processes with Caputo Fractional Derivatives,"
Progress in Fractional Differentiation & Applications: Vol. 6
, Article 1.
Available at: https://dc.naturalspublishing.com/pfda/vol6/iss2/1