Publication result detail

A few notes on fractional calculus

KUNDRÁT, P.; NECHVÁTAL, L.

Original Title

A few notes on fractional calculus

English Title

A few notes on fractional calculus

Type

Paper in proceedings (conference paper)

Original Abstract

The fractional calculus is a branch of mathematics which generalizes the integer-order calculus to non-integer order one. The two definitions of a fractional derivative (integral) are introduced (the first one is based on a generalization of binomial formula, the second one is so-called Grunwald-Letnikov definition). Some basic elements of these approaches are discussed and illustrated by examples.

English abstract

The fractional calculus is a branch of mathematics which generalizes the integer-order calculus to non-integer order one. The two definitions of a fractional derivative (integral) are introduced (the first one is based on a generalization of binomial formula, the second one is so-called Grunwald-Letnikov definition). Some basic elements of these approaches are discussed and illustrated by examples.

Keywords

fractional calculus, binomial formula, Grunwald-Letnikov differ-integral

Key words in English

fractional calculus, binomial formula, Grunwald-Letnikov differ-integral

Authors

KUNDRÁT, P.; NECHVÁTAL, L.

Released

13.09.2007

Publisher

Univerzita obrany

Location

Brno

ISBN

978-80-7231-274-0

Book

5. konference o matematice a fyzice na vysokých školách technických s mezinárodní účastí

Edition

Sborník příspěvků

Pages from

195

Pages to

203

Pages count

9

BibTex

@inproceedings{BUT23702,
  author="Petr {Tomášek} and Luděk {Nechvátal}",
  title="A few notes on fractional calculus",
  booktitle="5. konference o matematice a fyzice na vysokých školách technických s mezinárodní účastí",
  year="2007",
  series="Sborník příspěvků",
  number="1",
  pages="195--203",
  publisher="Univerzita obrany",
  address="Brno",
  isbn="978-80-7231-274-0"
}