SOLUTION OF LINEAR FRACTIONAL-DERIVATIVE ORDINARY DIFFERENTIAL EQUATIONS WITH CONSTANT MATRIX COEFFICIENTS

被引：0

作者：

Aliev, F. A. ^{[1
,2
]}

Aliev, N. A. ^{[1
]}

Safarova, N. A. ^{[1
]}

Gasimova, K. G. ^{[3
]}

Velieva, N., I ^{[1
]}

机构：

[1] Baku State Univ, Inst Appl Math, Baku, Azerbaijan

[2] Inst Informat Technol ANAS, Baku, Azerbaijan

[3] Azerbaijan State Pedag Univ, Baku, Azerbaijan

来源：

APPLIED AND COMPUTATIONAL MATHEMATICS | 2018年 / 17卷 / 03期

关键词：

Fractional-Derivative; Constant Matrix Coefficients; Ordinary Differential Equation; Mittag-Lefler Function; Exponential Function;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Cauchy problem for fractional-derivative linear systems of ordinary differential equations with constant coefficients is considered, where the analytic expressions are given for the first time through the matrix exponential of its corresponding solution. Based on the obtained results the conditions are given ensuring the asymptotic stability of the initial system. The results are illustrated by the numerical example, where it is shown that when the order of the fractional derivative tends to one, the solution tends to the corresponding exponential function.

引用

页码：317 / 322

页数：6

共 15 条

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[2]

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[3]

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[4]

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[5]

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[10]

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