DIFFERENCE BETWEEN RIESZ DERIVATIVE AND FRACTIONAL LAPLACIAN ON THE PROPER SUBSET OF R

被引：3

作者：

Jiao, Caiyu ^{[1
]}

Khaliq, Abdul ^{[2
]}

Li, Changpin ^{[1
]}

Wang, Hexiang ^{[3
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

[2] Middle Tennessee State Univ, Dept Math Sci, Murfreesboro, TN 37132 USA

[3] Kashi Univ, Sch Math & Stat, Kashi 844006, Peoples R China

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2021年 / 24卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Riemann-Liouville derivative; Riesz deriva-tive; fractional Laplacian; HIGH-ORDER ALGORITHMS; EQUATIONS;

D O I：

10.1515/fca-2021-0074

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In general, the Riesz derivative and the fractional Laplacian are equivalent on R. But they generally are not equivalent with each other on any proper subset of R. In this paper, we focus on the difference between them on the proper subset of R.

引用

页码：1716 / 1734

页数：19

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