Artículo de revista
Subordination principle, Wright functions and large-time behavior for the discrete in time fractional diffusion equation
Registro en:
0022-247X
10.1016/j.jmaa.2021.125741
1096-0813
Corporación Universidad de la Costa
REDICUC - Repositorio CUC
Autor
Abadias, Luciano
Alvarez, Edgardo
Díaz , Stiven
Institución
Resumen
The main goal in this paper is to study asymptotic behavior in Lp(RN ) for the
solutions of the fractional version of the discrete in time N-dimensional diffusion
equation, which involves the Caputo fractional h-difference operator. The techniques to prove the results are based in new subordination formulas involving the discrete in time Gaussian kernel, and which are defined via an analogue in discrete time setting of the scaled Wright functions. Moreover, we get an equivalent representation of that subordination formula by Fox H-functions.