Weyl and Marchaud Derivatives: A Forgotten History

被引：57
作者：
Ferrari, Fausto [1 ]
机构：
[1] Univ Bologna, Dipartimento Matemat, Piazza Porta S Donato 5, I-40126 Bologna, Italy
来源：
MATHEMATICS | 2018年 / 6卷 / 01期
关键词：
fractional derivatives; Grunwald-Letnikov derivative; Weyl derivative; Marchaud derivative; fractional Laplace operator; extension operator; EXTENSION PROBLEM; HARNACKS INEQUALITY; LAPLACIANS; SEMIGROUPS; REGULARITY; OPERATORS; OBSTACLE;
D O I：
10.3390/math6010006
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we recall the contribution given by Hermann Weyl and Andre Marchaud to the notion of fractional derivative. In addition, we discuss some relationships between the fractional Laplace operator and Marchaud derivative in the perspective to generalize these objects to different fields of the mathematics.
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页数：25
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