A METHOD FOR THE DISCRETIZATION OF LINEAR SYSTEMS OF ORDINARY FRACTIONAL DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS

A METHOD FOR THE DISCRETIZATION OF LINEAR SYSTEMS OF ORDINARY FRACTIONAL DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS

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 compare...

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) Vol. 256; no. 5; p. 567
Main Authors: Aliev, F.A, Aliev, N. A, Velieva, N.I, Gasimova, K.G
Format: Journal Article
Language:English
Published: Springer 01-08-2021
Subjects:
Analysis
Differential equations
Linear systems
Methods
Online Access:Get full text
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Description
Summary: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.
ISSN:1072-3374
DOI:10.1007/sl0958-021-05445-9