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.
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页码：68 / 78
页数：11
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