Towards Multifractional Calculus

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 comme...

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Bibliographic Details
Main Author: Gianluca Calcagni
Format: Article
Language:English
Published: Frontiers Media S.A. 2018-06-01
Series:Frontiers in Physics
Subjects:
Online Access:https://www.frontiersin.org/article/10.3389/fphy.2018.00058/full