Publication detail

Fractional differential equations with a constant delay: Stability and asymptotics of solutions

ČERMÁK, J. KISELA, T. DOŠLÁ, Z.

Original Title

Fractional differential equations with a constant delay: Stability and asymptotics of solutions

Type

journal article in Web of Science

Language

English

Original Abstract

The paper discusses stability and asymptotic properties of a fractional-order differential equation involving both delayed as well as non-delayed terms. As the main results, ex- plicit necessary and sufficient conditions guaranteeing asymptotic stability of the zero so- lution are presented, including asymptotic formulae for all solutions.

Keywords

Delay differential equation; fractional-order derivative; stability; asymptotic behaviour

Authors

ČERMÁK, J.; KISELA, T.; DOŠLÁ, Z.

Released

1. 4. 2017

Publisher

Elsevier

Location

Netherlands

ISBN

0096-3003

Periodical

APPLIED MATHEMATICS AND COMPUTATION

Year of study

298

Number

1

State

United States of America

Pages from

336

Pages to

350

Pages count

15

URL

http://www.sciencedirect.com/science/article/pii/S0096300316306841

BibTex

@article{BUT131707,
  author="Jan {Čermák} and Tomáš {Kisela} and Zuzana {Došlá}",
  title="Fractional differential equations with a constant delay: Stability and asymptotics of solutions",
  journal="APPLIED MATHEMATICS AND COMPUTATION",
  year="2017",
  volume="298",
  number="1",
  pages="336--350",
  doi="10.1016/j.amc.2016.11.016",
  issn="0096-3003",
  url="http://www.sciencedirect.com/science/article/pii/S0096300316306841"
}