## Seminario

Data evento:
Thursday, 12 June, 2014 - 14:00

Sabrina Roscani - PhD student CONICET - Argentina, Universidad
Nacional de Rosario.

"Two equivalent Stefan's Problems for the Time Fractional Diffusion
Equation"

Two Stefan's problems for the diffusion fractional equation  are
solved, where  the fractional derivative of order $\alpha\in (0,1)$
is taken in the Caputo's sense. The first one has a constant
condition on $x = 0$ and the second presents a flux condition  $T_x (0, t) = \frac {q} {t ^ {\alpha/2}}$. An equivalence between these
problems is proved and  the convergence to the classical solutions
is analyzed when  $\alpha\nearrow$ 1 recovering the heat equation
with its respective Stefan's condition.

AULA 1E

Allegati:

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