Desiderata for Fractional Derivatives and Integrals

The purpose of this brief article is to initiate discussions in this special issue by proposing <i>desiderata</i> for calling an operator a fractional derivative or a fractional integral. Our <i>desiderata</i> are neither axioms nor do they define fractional derivatives or integrals uniquely. Instead they intend to stimulate the field by providing guidelines based on a small number of time honoured and well established criteria.

Abstract licence: CC BY

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