Fractional vector analysis based on invariance requirements (critique of coordinate approaches)

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F20%3A00519209" target="_blank" >RIV/67985840:_____/20:00519209 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.1007/s00161-019-00797-9" target="_blank" >https://doi.org/10.1007/s00161-019-00797-9</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00161-019-00797-9" target="_blank" >10.1007/s00161-019-00797-9</a>

Result language

angličtina

Original language name

Fractional vector analysis based on invariance requirements (critique of coordinate approaches)

Original language description

The paper presents a novel approach to the operators of fractional vector analysis based on elementary requirements, viz. translational invariance, rotational invariance,homogeneity of degree α∈ R under isotropic scaling, certain weak requirement of continuity. Using methods of the theory of homogeneous distributions the paperproves that these requirements determine the fractional operators uniquely to within a multiplication by a scalar factor, derives explicit formulas for these operators.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10102 - Applied mathematics

Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2020

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Continuum Mechanics and Thermodynamics

ISSN

0935-1175

e-ISSN

—

Volume of the periodical

32

Issue of the periodical within the volume

1

Country of publishing house

DE - GERMANY

Number of pages

22

Pages from-to

207-228

UT code for WoS article

000511702200013

EID of the result in the Scopus database

2-s2.0-85066853230