On systems of linear fractional differential equations with constant coefficients

被引：142

作者：

Bonilla, B. ^{[1
]}

Rivero, M. ^{[1
]}

Trujillo, J. J. ^{[1
]}

机构：

[1] Univ La Laguna, Dept Anal Matemat, ES-38271 San Cristobal la Laguna, Islas Canarias, Spain

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 187卷 / 01期

关键词：

matrix Mittag-Leffler type functions; linear systems of fractional differential equations; fractional Green function;

D O I：

10.1016/j.amc.2006.08.104

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the study of linear systems of fractional differential equations such as the following system: [GRAPHICS] are matrices of known real functions. In a way analogous to the usual case, we show how a generalized matrix exponential function and certain fractional Green function, in connection with the Mittag-Leffler type functions, would allow us to obtain an explicit representation of the general solution to the system (1) when A is a constant matrix. (C) 2006 Published by Elsevier Inc.

引用

页码：68 / 78

页数：11

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