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Towards multifractional calculus
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math-phhep-thmath.MP
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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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