International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 54, Pages 3413-3442
doi:10.1155/S0161171203301486
Recent applications of fractional calculus to science and engineering
Department of Mathematics, University of Texas-Pan American, Edinburg 78539, TX, USA
Received 20 January 2003; Revised 6 June 2003
Copyright © 2003 Lokenath Debnath. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
This paper deals with recent applications of fractional calculus
to dynamical systems in control theory, electrical circuits with
fractance, generalized voltage divider, viscoelasticity,
fractional-order multipoles in electromagnetism, electrochemistry, tracer in fluid flows, and model of neurons
in biology. Special attention is given to numerical computation of
fractional derivatives and integrals.