Some pioneers of the applications of fractional calculus. (English) Zbl 1305.26008
Fract. Calc. Appl. Anal. 17, No. 2, 552-578 (2014); erratum ibid. 20, No. 3, 790 (2017).
Summary: 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:
| 26-03 | History of real functions |
| 34-03 | History of ordinary differential equations |
| 26A33 | Fractional derivatives and integrals |
| 01A55 | History of mathematics in the 19th century |
| 01A60 | History of mathematics in the 20th century |
| 34A08 | Fractional ordinary differential equations |
Keywords:
fractional calculus; applications; pioneers; Abel; Cole; Gemant; Gerasimov; Heaviside; Lévy; Nigmatullin; Rabotnov; Scott BlairReferences:
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