Towards multifractional calculus
Mathematical Physics
2018-06-22 v2 High Energy Physics - Theory
math.MP
Abstract
After motivating the need of a multiscale version of fractional calculus in quantum gravity, we review current proposals and the program to be carried out in order to reach a viable definition of scale-dependent fractional operators. We present different types of multifractional Laplacians and comment on their known or expected properties.
Cite
@article{arxiv.1801.00396,
title = {Towards multifractional calculus},
author = {Gianluca Calcagni},
journal= {arXiv preprint arXiv:1801.00396},
year = {2018}
}
Comments
10 pages; v2: small clarifications and references added