Solving Homogeneous Fractional Differential Equations of Euler Type

被引：6

作者：

Zhukovskaya, N. V. ^{[1
]}

Kilbas, A. A. ^{[1
]}

机构：

[1] Belarusian State Univ, Minsk, BELARUS

来源：

DIFFERENTIAL EQUATIONS | 2011年 / 47卷 / 12期

关键词：

Russian Translation; Fractional Order; Fractional Derivative; Gamma Function; Fractional Calculus;

D O I：

10.1134/S0012266111120020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study linear homogeneous differential equations with three left Riemann-Liouville fractional derivatives; these equations are analogs of Euler ordinary differential equations. By using the direct and inverse Mellin transforms and residue theory, we obtain a complete system of linearly independent solutions. As a corollary, related results are proved for Euler ordinary differential equations.

引用

页码：1714 / 1725

页数：12

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