Riesz potential versus fractional Laplacian

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 a...

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Bibliographic Details
Main Author: Ortigueira, Manuel D. (author)
Other Authors: Laleg-Kirati, Taous-Meriem (author), Machado, J. A. Tenreiro (author)
Format: article
Language:eng
Published: 2015
Subjects:
Online Access:http://hdl.handle.net/10400.22/6933
Country:Portugal
Oai:oai:recipp.ipp.pt:10400.22/6933