Parameter Determination in a Differential Equation of Fractional Order with Riemann-Liouville Fractional Derivative in a Hilbert Space

被引：0
|
作者：
Orlovsky, Dmitry G. [1 ]
机构：
[1] Natl Res Nucl Univ MEPhI, Kashirskoye Shosse 31, Moscow 115409, Russia
来源：
JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS | 2015年 / 8卷 / 01期
关键词：
equation of fractional order; Hilbert space; self-adjoint operator; Cauchy-type problem; Mittag-Leffler function; inverse problem; characteristic function;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The Cauchy type problem for a differential equation with fractional derivative and self-adjoint operator in a Hilbert space is considered. The problem of parameter determination in equation by the value of the solution at a fixed point is presented. Theorems of existence and uniqueness of the solution are proved.
引用
收藏
页码：55 / 63
页数：9
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