R. Hilfer, Yu. Luchko
Mathematics 7, 149 (2019)
https://doi.org/10.3390/math7020149
submitted on
Friday, January 11, 2019
The purpose of this brief article is to initiate discussions in this special issue by proposing desiderata for calling an operator a fractional derivative or a fractional integral. Our desiderata 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.
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