Fractional Laplacian matrix on the finite periodic linear chain and its periodic Riesz fractional derivative continuum limit

The 1D discrete fractional Laplacian operator on a cyclically closed (periodic) linear chain with finitenumber $N$ of identical particles is introduced. We suggest a "fractional elastic harmonic potential", and obtain the $N$-periodic fractionalLaplacian operator in the form of a power l...

Full description

Bibliographic Details
Main Authors: Michelitsch, Thomas, Collet, Bernard, Nowakowski, Andrzej, Nicolleau, Franck
Format: text
Published: 2014
Subjects:
Online Access:http://arxiv.org/abs/1412.5904