The Fractional Laplacian.
The Fractional Laplacian
The fractional Laplacian, also called the Riesz fractional derivative, describes an unusual diffusion process due to random displacements executed by jumpers that are able to walk to neighboring or nearby sites, says Pozrikidis, but can also perform excursions to remote sites by way of Levy flights. He introduces them in discussions on the fractional Laplacian in one dimension, numerical discretization in one dimension, further concepts in one dimension, periodic functions, the fractional Laplacian in three dimensions, and the fractional Laplacian in two dimensions. ([umlaut] Ringgold, Inc., Portland, OR)