Some pioneers of the applications of fractional calculus

By Duarte Valério, J. Machado, Virginia S. Kiryakova. 2013

198 citations recorded by the source corpus.

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.

Subfields: Mathematical Physics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/51c8f513a5b09fc0c6b0e8320f4d7ee5319f86f2

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Mathematical Physics

In Modeling and Simulation

In Numerical Analysis

Citations in the corpus

General conformable fractional derivative and its physical interpretation (2017, background): “Fractional calculus or non-integer order calculus is an old topic from Leibniz times [1] and has attracted much attention from mathematicians, physicists and engineers in recent decades [2–13].”
On some new properties of fractional derivatives with Mittag-Leffler kernel (2017, background): “Fractional derivatives and integrals of this Riemann–Liouville type have a vast number of applications across many fields of science and engineering [45].”