A generalization of Duhamel's principle for differential equations of fractional order

被引：20

作者：

Umarov, S. R. ^{[1
]}

Saidamatov, E. M. ^{[1
]}

机构：

[1] Tashkent State Univ, Tashkent 700095, Uzbekistan

来源：

DOKLADY MATHEMATICS | 2007年 / 75卷 / 01期

关键词：

Cauchy Problem; Fractional Order; DOKLADY Mathematic; Fractional Differential Equation; Pseudodifferential Operator;

D O I：

10.1134/S1064562407010267

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A generalization of Duhamel's classical principle to differential equations of fractional order is discussed. It is found that Duhamel's principle reduces the Cauchy problem for inhomogeneous linear partial differential equations, to the Cauchy problem for the corresponding homogeneous equation. Result shows that the inhomogeneous problems, can be solved by the use and estimation of Green's functions or application of a combination of some integral transformations and Duhamel's classification principle.

引用

页码：94 / 96

页数：3

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