Sign in
Back
Riesz potential versus fractional Laplacian
Journal article   Peer reviewed

Riesz potential versus fractional Laplacian

Manuel D. Ortigueira, Taous-Meriem Laleg-Kirati and J. A. Tenreiro Machado
Journal of statistical mechanics, Vol.2014(9), pp.P09032-11
01/09/2014
DOI: https://doi.org/10.1088/1742-5468/2014/09/P09032

Abstract

Mechanics Physical Sciences Physics Physics, Mathematical Science & Technology Technology
This paper starts by introducing the Grunwald-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.

Metrics

1 Record Views

Details