Desiderata for Fractional Derivatives and Integrals

被引：89

作者：

Hilfer, Rudolf ^{[1
]}

Luchko, Yuri ^{[2
]}

机构：

[1] Univ Stuttgart, Fak Math & Phys, ICP, Allmandring 3, D-70569 Stuttgart, Germany

[2] Beuth Hsch Tech Berlin, Fachbereich Math Phys Chem, Luxemburger Str 10, D-13353 Berlin, Germany

来源：

MATHEMATICS | 2019年 / 7卷 / 02期

关键词：

fractional derivatives; fractional integrals; fractional calculus; CLASSIFICATION;

D O I：

10.3390/math7020149

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：5

共 8 条

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Tenreiro Machado, J. A.
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2015, 293 : 4 - 13

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