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Fractional Calculus and Applied Analysis

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Volume 17, Issue 2


Some pioneers of the applications of fractional calculus

Duarte Valério
  • IDMEC, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais 1, Pav. Eng. Mec. III, 1049 - 001, Lisboa, Portugal
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/ José Machado
  • Polytechnic of Porto, Dept. of Electrical Engineering, ISEP — Institute of Engineering, Rua Dr. António Bernardino de Almeida, 431, 4200 - 072, Porto, Portugal
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Published Online: 2014-03-21 | DOI: https://doi.org/10.2478/s13540-014-0185-1


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.

MSC: Primary 26A33; Secondary 01A55, 01A60, 34A08

Keywords: fractional calculus; applications; pioneers; Abel; Cole; Gemant; Gerasimov; Heaviside; Lévy; Nigmatullin; Rabotnov; Scott Blair

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About the article

Published Online: 2014-03-21

Published in Print: 2014-06-01

Citation Information: Fractional Calculus and Applied Analysis, Volume 17, Issue 2, Pages 552–578, ISSN (Online) 1314-2224, DOI: https://doi.org/10.2478/s13540-014-0185-1.

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