Advances in Difference Equations
Volume 2011 (2011), Article ID 652789, 14 pages
doi:10.1155/2011/652789
Research Article

An Effective Numerical Method and Its Utilization to Solution of Fractional Models Used in Bioengineering Applications

Ivo Petráš

Institute of Control and Informatization of Production Processes, Faculty of BERG, Technical University of Košice, B. Němcovej 3, 042 00 Košice, Slovakia

Received 13 December 2010; Accepted 1 February 2011

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.

Abstract

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.