Publication detail

Note on a discretization of a linear fractional differential equation

ČERMÁK, J. KISELA, T.

Czech title

Poznámka o diskretizaci jisté lineární zlomkové diferenciální rovnice

English title

Note on a discretization of a linear fractional differential equation

Type

journal article - other

Language

en

Original abstract

The paper discusses basics of calculus of backward fractional differences and sums.In particular, their definitions and basic properties are recalled. Moreover, a special two-term linear fractional difference equation is studied.

Czech abstract

Článek se zabývá základy kalkulu zpětných zlomkových diferencí a součtů. Speciálně jsou uvedeny jejich definice a základní vlastnosti. Navíc je také studována jistá dvoučlenná zlomková diferenční rovnice.

English abstract

The paper discusses basics of calculus of backward fractional differences and sums.In particular, their definitions and basic properties are recalled. Moreover, a special two-term linear fractional difference equation is studied.

Keywords in Czech

Zlomková diference, zlomková suma, diskrétní Mittag-Lefflerova funkce.

Keywords in English

Fractional difference, fractional sum, discrete Mittag-Leffler function.

RIV year

2010

Released

15.05.2010

ISSN

0862-7959

Journal

Mathematica Bohemica

Volume

135

Number

2

Pages from–to

179–188

Pages count

10

BIBTEX


@article{BUT46867,
  author="Jan {Čermák} and Tomáš {Kisela},
  title="Note on a discretization of a linear fractional differential equation",
  journal="Mathematica Bohemica",
  year="2010",
  volume="135",
  number="2",
  month="May",
  pages="179--188",
  issn="0862-7959"
}