Publication detail

The Lambert function method in qualitative analysis of fractional delay differential equations

ČERMÁK, J. KISELA, T. NECHVÁTAL, L.

Original Title

The Lambert function method in qualitative analysis of fractional delay differential equations

Type

journal article in Web of Science

Language

English

Original Abstract

We discuss an analytical method for qualitative investigations of linear fractional delay differential equations. This method originates from the Lambert function technique that is traditionally used in stability analysis of ordinary delay differential equations. Contrary to the existing results based on such a technique, we show that the method can result into fully explicit stability criteria for a linear fractional delay differential equation, supported by a precise description of its asymptotics. As a by-product of our investigations, we also state alternate proofs of some classical assertions that are given in a more lucid form compared to the existing proofs.

Keywords

Fractional delay differential equation (primary); Lambert function; Stability; Asymptotic behavior

Authors

ČERMÁK, J.; KISELA, T.; NECHVÁTAL, L.

Released

16. 6. 2023

Publisher

Springer Nature

Location

CAMPUS, 4 CRINAN ST, LONDON N1 9XW, ENGLAND

ISBN

1311-0454

Periodical

Fractional Calculus and Applied Analysis

Year of study

26

Number

4

State

Republic of Bulgaria

Pages from

1545

Pages to

1565

Pages count

21

URL

https://link.springer.com/article/10.1007/s13540-023-00176-x

Full text in the Digital Library

http://hdl.handle.net/11012/213603

BibTex

@article{BUT184060,
  author="Jan {Čermák} and Tomáš {Kisela} and Luděk {Nechvátal}",
  title="The Lambert function method in qualitative analysis of fractional delay differential equations",
  journal="Fractional Calculus and Applied Analysis",
  year="2023",
  volume="26",
  number="4",
  pages="1545--1565",
  doi="10.1007/s13540-023-00176-x",
  issn="1311-0454",
  url="https://link.springer.com/article/10.1007/s13540-023-00176-x"
}