Asymptotic properties of solutions of the fractional diffusion-wave equation
2014 ◽
Vol 17
(3)
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Keyword(s):
AbstractFor 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).
2019 ◽
Vol 376
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pp. 1312-1330
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2009 ◽
Vol 465
(2106)
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pp. 1893-1917
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2020 ◽
Vol 3
(1)
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pp. 19-33
2011 ◽
Vol 14
(3)
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