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...

ver descrição completa

Detalhes bibliográficos
Autor principal: Ortigueira, Manuel D. (author)
Outros Autores: Laleg-Kirati, Taous-Meriem (author), Machado, J. A. Tenreiro (author)
Formato: article
Idioma:eng
Publicado em: 2015
Assuntos:
Texto completo:http://hdl.handle.net/10400.22/6933
País:Portugal
Oai:oai:recipp.ipp.pt:10400.22/6933