SOLUTIONS OF FRACTIONAL ORDER TIME-VARYING LINEAR DYNAMICAL SYSTEMS USING THE RESIDUAL POWER SERIES METHOD

被引：0

作者：

Modanli, Mahmut ^{[1
]}

Abdulazeez, Sadeq taha ^{[2
,3
]}

Goksu, Habibe ^{[1
]}

机构：

[1] Harran Univ, Fac Arts & Sci, Dept Math, Sanliurfa, Turkiye

[2] Univ Duhok, Coll Basic Educ, Dept Math, Duhok, Iraq

[3] Nawroz Univ, Coll Sci, Dept Comp Sci, Duhok, Iraq

来源：

HONAM MATHEMATICAL JOURNAL | 2023年 / 45卷 / 04期

关键词：

fractional order time-varying linear dynamical systems; residual power series method; Laplace transform method; analytic solution; exact solution;

D O I：

10.5831/HMJ.2023.45.4.619

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the fractional order time-varying linear dynamical systems are investigated by using a residual power series method. A residual power series method (RPSM) is constructed for this problem. The exact solution is obtained by the Laplace transform method and the analytical solution is calculated via the residual power series method (RPSM). As an application, some examples are tested to show the accuracy and efficacy of the proposed methods. The obtained result showed that the proposed methods are effective and accurate for this type of problem.

引用

页码：619 / 628

页数：10