Publication detail
On compositions of fractional derivatives
OPLUŠTIL, Z.
Czech title
Skládání zlomkových derivací
English title
On compositions of fractional derivatives
Type
conference paper
Language
en
Original abstract
The fractional calculus is a branch of mathematics which generalizes the integer-order calculus to non-integer order one. The definition of a fractional derivative known as Grunwald-Letnikov definition is recalled. Some interesting properties of these approaches are discussed and illustrated by examples.
Czech abstract
Zlomkový kalkulus je odvětví matematiky, které zobecňuje celočíselné derivace. Uvádíme zde definice Grunwald-Letnikova. Jsou zde prezentovány zajímavé vlastnosti a příklady tlomkových derivací.
English abstract
The fractional calculus is a branch of mathematics which generalizes the integer-order calculus to non-integer order one. The definition of a fractional derivative known as Grunwald-Letnikov definition is recalled. Some interesting properties of these approaches are discussed and illustrated by examples.
Keywords in Czech
Zlomkový kalkul, Grunwald-Letnikov, skládání zlomkových derivací
Keywords in English
Fractional calculus, Grunwald-Letnikov differ-integral, composition of fractional derivatives
RIV year
2007
Released
13.09.2007
Publisher
Univerzita obrany Brno
Location
Brno
ISBN
978-80-7231-274-0
Book
5. Konference o matematice a fyzice na vysokých školách technických
Edition number
1.
Pages from–to
231–240
Pages count
10
BIBTEX
@inproceedings{BUT23703,
author="Zdeněk {Opluštil},
title="On compositions of fractional derivatives",
booktitle="5. Konference o matematice a fyzice na vysokých školách technických",
year="2007",
month="September",
pages="231--240",
publisher="Univerzita obrany Brno",
address="Brno",
isbn="978-80-7231-274-0"
}