INV SUPERIOR JUBILADO
TARZIA domingo alberto
artículos
Título:
An integral relationship for a fractional one-phase Stefan problem
Autor/es:
ROSCANI, SABRINA D.; DA. TARZIA
Revista:
Fractional Calculus and Applied Analysis
Editorial:
De Gruyter
Referencias:
Año: 2018 vol. 21 p. 901 - 918
ISSN:
1311-0454
Resumen:
A one-dimensional fractional one-phase Stefan problem with a temperatureboundary condition at the fixed face is considered by using theRiemann?Liouville derivative. This formulation is more convenient thanthe one given in Roscani and Santillan (Fract. Calc. Appl. Anal., 16, No4 (2013), 802?815) and Tarzia and Ceretani (Fract. Calc. Appl. Anal., 20,No 2 (2017), 399?421), because it allows us to work with Green?s identities(which does not apply when Caputo derivatives are considered). As amain result, an integral relationship between the temperature and the freeboundary is obtained which is equivalent to the fractional Stefan condition.Moreover, an exact solution of similarity type expressed in terms of Wrightfunctions is also given.
