Abstract
For the fractional diffusion-wave equation with the Caputo-Djrbashian fractional derivative of order α ∈ (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).
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Kochubei, A.N. Asymptotic properties of solutions of the fractional diffusion-wave equation. Fract Calc Appl Anal 17, 881–896 (2014). https://doi.org/10.2478/s13540-014-0203-3
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DOI: https://doi.org/10.2478/s13540-014-0203-3