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Towards multifractional calculus

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arxiv 1801.00396 v2 pith:2FIEBKHM submitted 2018-01-01 math-ph hep-thmath.MP

Gianluca Calcagni This is my paper
classification math-phhep-thmath.MP
keywords calculusfractionalmultifractionalcarriedcommentcurrentdefinitiondifferent
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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.

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  1. Cosmology of fractional gravity

    gr-qc 2026-04 unverdicted novelty 7.0 of 10

    Fractional gravity yields stable de Sitter expansion and exact bouncing solutions driven by phantom (w < -1) or ghost (negative energy) fluids, with results independent of the form-factor representation.

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