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

Received 20 January 2003; Revised 6 June 2003

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.