Stability analysis of linear fractional neutral delay differential equations

Jingjun Zhao; Xingchi Wang; Yang Xu

doi:10.1007/s10092-024-00595-z

Stability analysis of linear fractional neutral delay differential equations

Jingjun Zhao
, Xingchi Wang
, Yang Xu^*

^*Corresponding author for this work

School of Mathematics, Harbin Institute of Technology

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

This paper investigates the analytical stability region and the asymptotic stability of linear fractional neutral delay differential equations. Employing boundary locus techniques, the stability region of this problem is analyzed. Furthermore, we derive the fundamental solution of linear fractional neutral delay differential equations, and prove the exponential boundedness, the asymptotic stability and the algebraic decay rate. Finally, numerical tests are conducted to verify the theoretical results.

Original language	English
Article number	40
Journal	Calcolo
Volume	61
Issue number	3
DOIs	https://doi.org/10.1007/s10092-024-00595-z
State	Published - Sep 2024
Externally published	Yes

Keywords

Asymptotic behavior
Caputo fractional derivative
Fractional neutral delay differential equation
Stability region

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10.1007/s10092-024-00595-z

Cite this

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title = "Stability analysis of linear fractional neutral delay differential equations",

abstract = "This paper investigates the analytical stability region and the asymptotic stability of linear fractional neutral delay differential equations. Employing boundary locus techniques, the stability region of this problem is analyzed. Furthermore, we derive the fundamental solution of linear fractional neutral delay differential equations, and prove the exponential boundedness, the asymptotic stability and the algebraic decay rate. Finally, numerical tests are conducted to verify the theoretical results.",

keywords = "Asymptotic behavior, Caputo fractional derivative, Fractional neutral delay differential equation, Stability region",

author = "Jingjun Zhao and Xingchi Wang and Yang Xu",

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T1 - Stability analysis of linear fractional neutral delay differential equations

AU - Zhao, Jingjun

AU - Wang, Xingchi

AU - Xu, Yang

N1 - Publisher Copyright: © The Author(s) under exclusive licence to Istituto di Informatica e Telematica (IIT) 2024.

PY - 2024/9

Y1 - 2024/9

N2 - This paper investigates the analytical stability region and the asymptotic stability of linear fractional neutral delay differential equations. Employing boundary locus techniques, the stability region of this problem is analyzed. Furthermore, we derive the fundamental solution of linear fractional neutral delay differential equations, and prove the exponential boundedness, the asymptotic stability and the algebraic decay rate. Finally, numerical tests are conducted to verify the theoretical results.

AB - This paper investigates the analytical stability region and the asymptotic stability of linear fractional neutral delay differential equations. Employing boundary locus techniques, the stability region of this problem is analyzed. Furthermore, we derive the fundamental solution of linear fractional neutral delay differential equations, and prove the exponential boundedness, the asymptotic stability and the algebraic decay rate. Finally, numerical tests are conducted to verify the theoretical results.

KW - Asymptotic behavior

KW - Caputo fractional derivative

KW - Fractional neutral delay differential equation

KW - Stability region

UR - https://www.scopus.com/pages/publications/85196619783

U2 - 10.1007/s10092-024-00595-z

DO - 10.1007/s10092-024-00595-z

M3 - 文章

AN - SCOPUS:85196619783

SN - 0008-0624

VL - 61

JO - Calcolo

JF - Calcolo

IS - 3

M1 - 40

ER -

Stability analysis of linear fractional neutral delay differential equations

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Keywords

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