Riesz potential versus fractional Laplacian


Autoria(s): Ortigueira, Manuel D.; Laleg-Kirati, Taous-Meriem; Machado, J. A. Tenreiro
Data(s)

19/11/2015

19/11/2015

2014

Resumo

This paper starts by introducing the Grünwald–Letnikov derivative, the Riesz potential and the problem of generalizing the Laplacian. Based on these ideas, the generalizations of the Laplacian for 1D and 2D cases are studied. It is presented as a fractional version of the Cauchy–Riemann conditions and, finally, it is discussed with the n-dimensional Laplacian.

Identificador

http://hdl.handle.net/10400.22/6933

10.1088/1742-5468/2014/09/P09032

Idioma(s)

eng

Publicador

IOP Publishing

Relação

Journal of Statistical Mechanics: Theory and Experiment;

http://iopscience.iop.org/article/10.1088/1742-5468/2014/09/P09032/meta;jsessionid=4F5950E0ED4EB00D8AA7F638A25DE6DC.c1

Direitos

openAccess

Palavras-Chave #Nonlinear dynamics
Tipo

article