Handling a Commensurate, Incommensurate, and Singular Fractional-Order Linear Time-Invariant System

被引：1

作者：

Batiha, Iqbal M. ^{[1
,2
]}

Talafha, Omar ^{[3
]}

Ababneh, Osama Y. ^{[4
]}

Alshorm, Shameseddin ^{[1
]}

Momani, Shaher ^{[2
,5
]}

机构：

[1] Al Zaytoonah Univ Jordan, Dept Math, Amman 11733, Jordan

[2] Ajman Univ, Nonlinear Dynam Res Ctr NDRC, POB 346, Ajman, U Arab Emirates

[3] Irbid Natl Univ, Fac Sci & Technol, Dept Math, Irbid 21110, Jordan

[4] Zarqa Univ, Fac Sci, Dept Math, Zarqa 13110, Jordan

[5] Univ Jordan, Fac Sci, Dept Math, Amman 11942, Jordan

来源：

AXIOMS | 2023年 / 12卷 / 08期

关键词：

linear time-invariant system; Adomian decomposition method (ADM); Caputo fractional-order derivative; ADOMIAN DECOMPOSITION METHOD; BOUNDARY-VALUE-PROBLEMS;

D O I：

10.3390/axioms12080771

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

From the perspective of the importance of the fractional-order linear time-invariant (FoLTI) system in plenty of applied science fields, such as control theory, signal processing, and communications, this work aims to provide certain generic solutions for commensurate and incommensurate cases of these systems in light of the Adomian decomposition method. Accordingly, we also generate another general solution of the singular FoLTI system with the use of the same methodology. Several more numerical examples are given to illustrate the core points of the perturbations of the considered singular FoLTI systems that can ultimately generate a variety of corresponding solutions.

引用

页数：19

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