Academic Editor: Katica R. (Stevanovic) Hedrih
Copyright © 2010 Ricardo Enrique Gutiérrez et al. 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.
The fractional order calculus (FOC) is as old as the integer one
although up to recently its application was exclusively in mathematics.
Many real systems are better described with FOC differential equations
as it is a well-suited tool to analyze problems of fractal dimension,
with long-term “memory” and chaotic behavior. Those characteristics
have attracted the engineers' interest in the latter years, and now it
is a tool used in almost every area of science. This paper introduces
the fundamentals of the FOC and some applications in systems' identification,
control, mechatronics, and robotics, where it is a promissory