209 citations · 282 across the 11 of their papers we have counts for
4 papers · 1 filter
Control of fractional diffusion problems via dynamic programming equations
Alessandro Alla, Marta D'Elia, Christian Glusa +1
We explore the approximation of feedback control of integro-differential equations containing a fractional Laplacian term. To obtain feedback control for the state variable of this…
An optimization-based approach to parameter learning for fractional type nonlocal models
Olena Burkovska, Christian Glusa, Marta D'Elia
Nonlocal operators of fractional type are a popular modeling choice for applications that do not adhere to classical diffusive behavior; however, one major challenge in nonlocal si…
Optimal control of a parabolic fractional PDE: analysis and discretization
Christian Glusa, Enrique Otarola
We consider the integral definition of the fractional Laplacian and analyze a linear-quadratic optimal control problem for the so-called fractional heat equation; control constrain…
A priori error estimates for the optimal control of the integral fractional Laplacian
Marta D'Elia, Christian Glusa, Enrique Otarola
We design and analyze solution techniques for a linear-quadratic optimal control problem involving the integral fractional Laplacian. We derive existence and uniqueness results, fi…