Publication result detail

Some remarks on non-integer differential and integral calculus

NECHVÁTAL, L.

Original Title

Some remarks on non-integer differential and integral calculus

English Title

Some remarks on non-integer differential and integral calculus

Type

Paper in proceedings (conference paper)

Original Abstract

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.

English abstract

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.

Keywords

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

Key words in English

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

Authors

NECHVÁTAL, L.

Released

18.10.2007

Publisher

Fakulta stavební Vysokého učení technického v Brně

Location

Brno

ISBN

80-214-2741-8

Book

6. matematický workshop

Pages from

1

Pages to

7

Pages count

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"
}