On the properties of a Cauchy-type problem for an abstract differential equation with fractional derivatives

被引：7
作者：
Glushak, A. V. [1 ]
机构：
[1] Belgorod State Univ, Belgorod, Russia
来源：
MATHEMATICAL NOTES | 2007年 / 82卷 / 5-6期
基金：
俄罗斯基础研究基金会;
关键词：
differential equation with fractional derivatives; Cauchy-type problem; Riemann-Lionville fractional derivative; fractional integral; Mittag-Leffler function;
D O I：
10.1134/S000143460711003X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We Study the relationship between the Solutions of abstract differential equations with fractional derivatives and their stability with respect to the perturbation by a bounded operator. Besides, we obtain representations for the solution of an inhomogeneous equation and for an equation containing a fractional power of the generator of a cosine operator function.
引用
收藏
页码：596 / 607
页数：12
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