Fractional Laplacians : A short survey
Copyright policy )Fractional Laplacians : A short survey
The authors give an overview of the different operators which extend the Laplacian one to the fractional derivatives context. They concentrate on their very definitions and basic properties, stressing on some differences among them and the classical Laplacian, also by making use of explicit examples. Alongside, Sobolev spaces of fractional order are presented.
- Institut Élie Cartan de Lorraine France
- University of Lorraine France
- Université Hassan II Mohammedia Morocco
regional fractional Laplacian, spectral fractional Laplacian, Research exposition (monographs, survey articles) pertaining to partial differential equations, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Fractional derivatives and integrals, Heat and other parabolic equation methods for PDEs on manifolds, fractional Laplacian, Fractional partial differential equations, fractional Poisson equations, nonlocal operators
regional fractional Laplacian, spectral fractional Laplacian, Research exposition (monographs, survey articles) pertaining to partial differential equations, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Fractional derivatives and integrals, Heat and other parabolic equation methods for PDEs on manifolds, fractional Laplacian, Fractional partial differential equations, fractional Poisson equations, nonlocal operators
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).30 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!