Mathematical Problems in Engineering
Volume 2010 (2010), Article ID 639801, 34 pages
Review Article

Some Applications of Fractional Calculus in Engineering

Institute of Engineering of Porto, Porto, Portugal

Received 9 June 2009; Accepted 29 July 2009

Academic Editor: Jose Balthazar

Copyright © 2010 J. A. Tenreiro Machado 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.


Fractional Calculus (FC) goes back to the beginning of the theory of differential calculus. Nevertheless, the application of FC just emerged in the last two decades, due to the progress in the area of chaos that revealed subtle relationships with the FC concepts. In the field of dynamical systems theory some work has been carried out but the proposed models and algorithms are still in a preliminary stage of establishment. Having these ideas in mind, the paper discusses FC in the study of system dynamics and control. In this perspective, this paper investigates the use of FC in the fields of controller tuning, legged robots, redundant robots, heat diffusion, and digital circuit synthesis.