Sabrina D. Roscani
Abstract:
We consider a one-dimensional moving-boundary problem
for the time-fractional diffusion equation. The time-fractional derivative
of order
is taken in the sense of Caputo.
We study the asymptotic behaivor, as t tends to infinity, of a
general solution by using a fractional weak maximum principle.
Also, we give some particular exact solutions in terms of Wright functions.
Submitted August 26, 2016. Published February 14, 2017.
Math Subject Classifications: 26A33, 35R37, 33E12, 33E20.
Key Words: Fractional diffusion equation; Caputo derivative;
moving-boundary problem; maximum principle; asymptotic behaivor.
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Sabrina D. Roscani CONICET - Departamento de Matemática FCE Universidad Austral, Paraguay 1950 S2000FZF Rosario, Argentina email: sabrinaroscani@gmail.com |
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