Publication result detail

ON EULER METHODS FOR CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS

TOMÁŠEK, P.

Original Title

ON EULER METHODS FOR CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS

English Title

ON EULER METHODS FOR CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS

Type

WoS Article

Original Abstract

Numerical methods for fractional differential equations have specific properties with respect to the ones for ordinary differential equations. The paper discusses Euler methods for Caputo differential equation initial value problem. The common properties of the methods are stated and demonstrated by several numerical experiments. Python codes are available to researchers for numerical simulations.

English abstract

Numerical methods for fractional differential equations have specific properties with respect to the ones for ordinary differential equations. The paper discusses Euler methods for Caputo differential equation initial value problem. The common properties of the methods are stated and demonstrated by several numerical experiments. Python codes are available to researchers for numerical simulations.

Keywords

Caputo derivative; numerical methods; initial value problem

Key words in English

Caputo derivative; numerical methods; initial value problem

Authors

TOMÁŠEK, P.

RIV year

2024

Released

29.03.2023

Publisher

MASARYK UNIV, FAC SCIENCE

Location

BRNO

ISBN

1212-5059

Periodical

Archivum Mathematicum

Volume

59

Number

3

State

Czech Republic

Pages from

287

Pages to

294

Pages count

8

URL

https://www.emis.de/journals/AM/23-3/Tomasek.pdf

BibTex

@article{BUT183300,
  author="Petr {Tomášek}",
  title="ON EULER METHODS FOR CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS",
  journal="Archivum Mathematicum",
  year="2023",
  volume="59",
  number="3",
  pages="287--294",
  doi="10.5817/AM2023-3-287",
  issn="1212-5059",
  url="https://www.emis.de/journals/AM/23-3/Tomasek.pdf"
}