Institute of Control and Informatization of Production Processes, Faculty of BERG, Technical University of Košice, B. Němcovej 3, 042 00 Košice, Slovakia
Academic Editor: J. J. Trujillo
Copyright © 2011 Ivo Petráš. 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 the fractional-order linear and nonlinear models used in
bioengineering applications and an effective method for their numerical solution. The proposed method is based on the power series expansion of a generating function. Numerical solution is in the form of the difference equation, which can be simply applied in the Matlab/Simulink to simulate the dynamics of system. Several illustrative examples are presented, which can be widely used in bioengineering as well as in the other disciplines, where the fractional calculus is often used.