Some pioneers of the applications of fractional calculus

Some pioneers of the applications of fractional calculus

In the last decades fractional calculus (FC) became an area of intensive research and development. This paper goes back and recalls important pioneers that started to apply FC to scientific and engineering problems during the nineteenth and twentieth centuries. Those we present are, in alphabetical...

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Veröffentlicht in:Fractional calculus & applied analysis 2014-06, Vol.17 (2), p.552-578
Hauptverfasser: Valério, Duarte, Machado, José Tenreiro, Kiryakova, Virginia
Format: Artikel
Sprache:eng
Schlagworte:
Abstract Harmonic Analysis
Analysis
Functional Analysis
Historical Survey
Integral Transforms
Mathematics
Mathematics and Statistics
Operational Calculus
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Beschreibung
Zusammenfassung:In the last decades fractional calculus (FC) became an area of intensive research and development. This paper goes back and recalls important pioneers that started to apply FC to scientific and engineering problems during the nineteenth and twentieth centuries. Those we present are, in alphabetical order: Niels Abel, Kenneth and Robert Cole, Andrew Gemant, Andrey N. Gerasimov, Oliver Heaviside, Paul Lévy, Rashid Sh. Nigmatullin, Yuri N. Rabotnov, George Scott Blair.
ISSN:1311-0454
1314-2224
DOI:10.2478/s13540-014-0185-1