ON THE FRACTIONAL MEAN-VALUE THEOREM

被引：6

作者：

Guo, Peng ^{[1
]}

Li, Changpin ^{[1
]}

Chen, Guanrong ^{[2
]}

机构：

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

[2] City Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2012年 / 22卷 / 05期

关键词：

Fractional calculus; mean-value theorem; Riemann-Liouville; Caputo; generalized Taylor's formula;

D O I：

10.1142/S0218127412501040

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we derive a fractional mean-value theorem both in the sense of Riemann-Liouville and in the sense of Caputo. This new formulation is more general than the generalized Taylor's formula of Kolwankar and the fractional mean-value theorem in the sense of Riemann-Liouville developed by Trujillo.

引用

页数：6

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