Аннотация:
In this paper, we study the approximate control problem from the exterior of a nonlocal equation of Sobolev–Galpern type, specifically the Barenblatt–Zheltov–Kochina equation, involving the fractional Laplace operator of order
$s\in(0,1)$.
We prove that the system under consideration is approximate controllable at any time
$T>0$.
Ключевые слова:fractional Laplace operator, Sobolev–Galpern type equation, exterior control problem, Barenblatt–Zheltov–Kochina equation, unique continuation property, approximate controllability.
