Towards Multifractional Calculus

  title={Towards Multifractional Calculus},
  author={Gianluca Calcagni},
  journal={Frontiers in Physics},
  • G. Calcagni
  • Published 1 January 2018
  • Physics
  • Frontiers in Physics
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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