Data evento: 
Giovedì, 12 Giugno, 2014 - 14:00

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

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


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.