Publication detail

On (q,h) - analogue of fractional calculus

ČERMÁK, J. NECHVÁTAL, L.

Czech title

O (q,h) - analogii zlomkového kalkulu

English title

On (q,h) - analogue of fractional calculus

Type

journal article - other

Language

en

Original abstract

The paper discusses fractional integrals and fractional derivatives appearing in the so-called (q,h)-calculus. There are introduced basic definitions and properties of these notions as well as comparisons with the known definitions and results.

Czech abstract

Článek se zabývá zlomkovými integrály a zlomkovými derivacemi, které se vyskytují v tzv. (q,h)-kalkulu. Jsou zde zavedeny základní definice a vlastnosti těchto pojmů, včetně srovnání s dosud známymi definicemi a výsledky.

English abstract

The paper discusses fractional integrals and fractional derivatives appearing in the so-called (q,h)-calculus. There are introduced basic definitions and properties of these notions as well as comparisons with the known definitions and results.

Keywords in Czech

Zlomková derivace, zlomkový integrál, (q,h)-kalkulus.

Keywords in English

Fractional derivative, fractional integral, (q,h)-calculus.

RIV year

2010

Released

01.04.2010

Publisher

Atlantic Press

ISSN

1402-9251

Journal

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS

Volume

17

Number

1

Pages from–to

1–18

Pages count

18

BIBTEX


@article{BUT49398,
  author="Jan {Čermák} and Luděk {Nechvátal},
  title="On (q,h) – analogue of fractional calculus",
  journal="JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS",
  year="2010",
  volume="17",
  number="1",
  month="April",
  pages="1--18",
  publisher="Atlantic Press",
  issn="1402-9251"
}