A Method for the Discretization of Linear Systems of Ordinary Fractional Differential Equations with Constant Coefficients

被引：0

作者：

Aliev F.A. ^{[1
]}

Aliev N.A. ^{[1
]}

Velieva N.I. ^{[1
]}

Gasimova K.G. ^{[2
]}

机构：

[1] Institute of Applied Mathematics, Baku State University, Khalilov Str., 23, Baku

[2] Azerbaijan State Pedagogic University, Gadzhibekov Str., 34, Baku

来源：

Journal of Mathematical Sciences | 2021年 / 256卷 / 5期

关键词：

D O I：

10.1007/s10958-021-05445-9

中图分类号：

学科分类号：

摘要：

We develop an exact discretization method for the solution of linear systems of ordinary fractional differential equations with constant matrix coefficients. It is shown that, in this case, the obtained linear discrete system does not have constant matrix coefficients. The proposed method is compared with the well-known approximate method. The presented scheme is developed for any linear systems with piecewise constant perturbations. The obtained results are used for the discretization of linear controlled systems and are illustrated by numerical examples. © 2021, Springer Science+Business Media, LLC, part of Springer Nature.

引用

页码：567 / 575

页数：8

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