Detail publikačního výsledku

Some remarks on non-integer differential and integral calculus

NECHVÁTAL, L.

Originální název

Some remarks on non-integer differential and integral calculus

Anglický název

Some remarks on non-integer differential and integral calculus

Druh

Stať ve sborníku v databázi WoS či Scopus

Originální abstrakt

Differential and integral calculus belongs to basic courses of mathematics and everybody understands geometrical and physical meaning of derivative or integral. But, hardly anybody can imagine for example derivative of order 1/2 or even of non-rational order. The branch of mathematics which generalizes calculus to non-integer case is known under the term \fractional calculs" although this name is little bit misleading. Here we give a brief overview of two the most straightforward deffinitions and some comments on them.

Anglický abstrakt

Differential and integral calculus belongs to basic courses of mathematics and everybody understands geometrical and physical meaning of derivative or integral. But, hardly anybody can imagine for example derivative of order 1/2 or even of non-rational order. The branch of mathematics which generalizes calculus to non-integer case is known under the term \fractional calculs" although this name is little bit misleading. Here we give a brief overview of two the most straightforward deffinitions and some comments on them.

Klíčová slova

fractional calculus, binomial formula, Grünwald-Letnikov differintegral, Riemann-Liouville differintegral

Klíčová slova v angličtině

fractional calculus, binomial formula, Grünwald-Letnikov differintegral, Riemann-Liouville differintegral

Autoři

NECHVÁTAL, L.

Vydáno

18.10.2007

Nakladatel

Fakulta stavební Vysokého učení technického v Brně

Místo

Brno

ISBN

80-214-2741-8

Kniha

6. matematický workshop

Strany od

1

Strany do

7

Strany počet

7

BibTex

@inproceedings{BUT23252,
  author="Luděk {Nechvátal}",
  title="Some remarks on non-integer differential and integral calculus",
  booktitle="6. matematický workshop",
  year="2007",
  number="1",
  pages="1--7",
  publisher="Fakulta stavební Vysokého učení technického v Brně",
  address="Brno",
  isbn="80-214-2741-8"
}