INVESTIGADORES
ROSCANI Sabrina Dina
artículos
Título:
Two equivalent Stefan's Problems for the Time Fractional Diffusion Equation
Autor/es:
SABRINA ROSCANI; EDUARDO SANTILLAN MARCUS
Revista:
Fractional Calculus and Applied Analysis
Editorial:
Springer-Versita
Referencias:
Lugar: Sofia; Año: 2013 vol. 16 p. 802 - 815
ISSN:
1311-0454
Resumen:
Two Stefan´s problems for the diffusion fractional equation are solved, where the fractional derivative of order $ al 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) = rac {q} {t ^ {al/2}} $. An equivalence between these problems is proved and the convergence to the classical solutions is analysed when $ al earrow $ 1 recovering the heat equation with its respective Stefan´s condition.
