International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 54, Pages 3413-3442

Recent applications of fractional calculus to science and engineering

Lokenath Debnath

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.


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.