On a connection between the discrete fractional Laplacian and superdiffusion

Abstract We relate the fractional powers of the discrete Laplacian with a standard time-fractional derivative in the sense of Liouville by encoding the iterative nature of the discrete operator through a time-fractional memory term. © 2015 Elsevier Ltd.

Bibliographic Details
Authors: Ciaurri, Ó. [0000-0002-1695-3311], Lizama, C., Roncal, L. [0000-0003-0852-3677], Varona, J.L. [0000-0002-2023-9946]
Format: article
Status:Versión aceptada para publicación
Publication Date:2015
Country:España
Institution:Universidad de La Rioja (UR)
Repository:RIUR. Repositorio Institucional de la Universidad de La Rioja
OAI Identifier:oai:portal.dialnet.es:doc/5bbc69e3b750603269e82332
Online Access:https://investigacion.unirioja.es/documentos/5bbc69e3b750603269e82332
Access Level:Open access
Keyword:Discrete Laplacian
Fractional Laplacian
Heat semigroup
Modified Bessel functions
Superdiffusion
Description
Summary:Abstract We relate the fractional powers of the discrete Laplacian with a standard time-fractional derivative in the sense of Liouville by encoding the iterative nature of the discrete operator through a time-fractional memory term. © 2015 Elsevier Ltd.

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