Fractional Calculus Mathematics

Desiderata for Fractional Derivatives and Integrals

R. Hilfer, Yu. Luchko

Mathematics 7, 149 (2019)

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.

For more information see