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Paper detail

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

We investigate 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 studied using two approaches: a reverse Hilbert uniqueness method, generalizing the approach introduced by Lions in 1988, and a penalization method, which allow us to characterize the minimum energy control.

preprint2019arXivOpen access
Touria KariteAli BoutouloutDelfim F. M. Torres
math.APmath.OC
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Touria KariteAli BoutouloutDelfim F. M. Torres

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