Publication detail

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

ČERMÁK, J. KISELA, T. DOŠLÁ, Z.

English title

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

Type

WoS Article

Language

en

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 in English

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

Released

2017-04-01

Publisher

Elsevier

Location

Netherlands

ISSN

0096-3003

Journal

APPLIED MATHEMATICS AND COMPUTATION

Volume

298

Number

1

Pages from–to

336–350

Pages count

15

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"
}