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

页码：55 / 63

页数：9

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