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
Lokenath Debnath
Department of Mathematics, University of Texas-Pan American, Edinburg 78539, TX, USA
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.