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Exterior controllability properties of a nonlocal Moore--Gibson--Thompson equation
Carlos Lizama, M. Warma, Sebastian Zamorano
The three concepts of exact, null and approximate controllabilities are analyzed from the exterior of the Moore--Gibson--Thompson equation associated with the fractional Laplace op…
Null controllability from the exterior of a one-dimensional nonlocal heat equation
Mahamadi Warma, Sebastian Zamorano
We consider the null controllability problem from the exterior for the one dimensional heat equation on the interval associated with the fractional Laplace operator $(-\par…
Analysis of the controllability from the exterior of strong damping nonlocal wave equations
Mahamadi Warma, Sebastian Zamorano
We make a complete analysis of the controllability properties from the exterior of the (possible) strong damping wave equation with the fractional Laplace operator subject to the n…
Well-posedness results for a class of semi-linear super-diffusive equations
Edgardo Alvarez, Ciprian Gal, Valentin Keyantuo +1
In this paper we investigate the following fractional order in time Cauchy problem \begin{equation*} \begin{cases} \mathbb{D}_{t}^{α}u(t)+Au(t)=f(u(t)), & 1<α<2, u(0)=u_{0},\,\,\,u…