## Approximate controllability from the exterior for a nonlocal Sobolev-Galpern type equation.(English)Zbl 1478.35229

Summary: 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 $$T>0$$.

### MSC:

 35R11 Fractional partial differential equations 35B60 Continuation and prolongation of solutions to PDEs 35K20 Initial-boundary value problems for second-order parabolic equations 35K70 Ultraparabolic equations, pseudoparabolic equations, etc. 93B05 Controllability
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### References:

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