Towards Multifractional Calculus

Frontiers in Physics

Calcagni, Gianluca¹ 

[1] Instituto de Estructura de la Materia, Consejo Superior de Investigaciones Científicas, Spain

关键词: Quantum Gravity;    fractional calculus;    Fractional derivatives;    multiscale geometry;    multifractional spacetimes;   

DOI  :  10.3389/fphy.2018.00058

学科分类：物理（综合）

来源: Frontiers

【 摘 要 】

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.

【 授权许可】

CC BY