On calculus of local fractional derivatives

被引：116

作者：

Babakhani, A ^{[1
]}

Daftardar-Gejji, V ^{[1
]}

机构：

[1] Univ Poona, Dept Math, Pune 411007, Maharashtra, India

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2002年 / 270卷 / 01期

关键词：

Riemann-Liouville fractional derivatives/integrals local fractional derivatives; local fractional Taylor series;

D O I：

10.1016/S0022-247X(02)00048-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Local fractional derivative (LFD) operators have been introduced in the recent literature (Chaos 6 (1996) 505-513). Being local in nature these derivatives have proven useful in studying fractional differentiability properties of highly irregular and nowhere differentiable functions. In the present paper we prove Leibniz rule, chain rule for LFD operators. Generalization of directional LFD and multivariable fractional Taylor series to higher orders have been presented. (C) 2002 Elsevier Science (USA). All rights reserved.

引用

页码：66 / 79

页数：14

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