INV SUPERIOR JUBILADO
TARZIA domingo alberto
artículos
Título:
Two different fractional Stefan problems which are convergent to the same classical Stefan problem
Autor/es:
ROSCANI, SABRINA D.; D. A. TARZIA
Revista:
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Editorial:
JOHN WILEY & SONS LTD
Referencias:
Lugar: Londres; Año: 2018 vol. 41 p. 6842 - 6850
ISSN:
0170-4214
Resumen:
Two fractional Stefan problems are considered by using Riemann-Liouville andCaputo derivatives of order 𝛼 ∈ (0, 1) such that, in the limit case (𝛼 = 1), bothproblems coincide with the same classical Stefan problem. For the one and theother problem, explicit solutions in terms of theWright functions are presented.We prove that these solutions are different even though they converge, when𝛼 ↗ 1, to the same classical solution. This result also shows that some limits arenot commutative when fractional derivatives are used.