Abstract

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 operator subject to the nonhomogeneous Dirichlet type exterior condition. Assuming that b > 0 and alpha - tau c(2)/b, we show that if 0 < s < 1 and Omega subset of R-N (N >= 1) is a bounded domain with a Lipschitz continuous boundary partial derivative Omega, then there is no control function g such that the following system