A Note on Fractional Calculus and Some Applications

被引：0

作者：

N'Guerekata, Gaston M. ^{[1
,2
]}

机构：

[1] Morgan State Univ, Dept Math, Baltimore, MD 21251 USA

[2] Univ Antilles & La Guyane, Lab CEREGMIA, F-97159 Pointe A Pitre, Guadeloupe, France

来源：

BRIDGING MATHEMATICS, STATISTICS, ENGINEERING AND TECHNOLOGY | 2012年 / 24卷

关键词：

Derivative of the fractional order; Mild solution; EQUATIONS;

D O I：

10.1007/978-1-4614-4559-3_2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this short note, we show by simple examples that differential equations of fractional orders generalize the ones of integer orders. We present a variation of constants formula which we obtained recently with C. Lizama and use it to prove the existence of solutions to some Cauchy problem with nonlocal conditions. This latter generalizes some of our recent results.

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页码：9 / 16

页数：8

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