  For the fractional diffusion-wave equation with the Caputo-Dzhrbashyan
fractional derivative of order $\alpha \in (1,2)$ with respect to the time
variable, we prove an analog of the principle of limiting amplitude (well-known
for the wave equation and some other hyperbolic equations) and a pointwise
stabilization property of solutions (similar to a well-known property of the
heat equation and some other parabolic equations).
