towards multifractional calculus

towards multifractional calculus

;Gianluca Calcagni
journal of biomaterials science polymer edition 2018 Vol. 6 pp. -
136
calcagni2018frontierstowards

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.

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174095
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10.3389/fphy.2018.00058
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