Approximate Controllability from the Exterior for a Nonlocal Sobolev–Galpern Type Equation

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 $T>0$.