Mathematical Problems in Engineering
Volume 2011 (2011), Article ID 675075, 18 pages
Research Article

Solution of Fractional Order System of Bagley-Torvik Equation Using Evolutionary Computational Intelligence

1Department of Electronics Engineering, Faculty of Engineering and Technology, International Islamic University, Sector H-10, Islamabad 44000, Pakistan
2Department of Electronics Engineering, Air University, Sector E-9, Islamabad 44000, Pakistan

Received 10 June 2010; Revised 12 January 2011; Accepted 23 January 2011

Academic Editor: Jyh Horng Chou

Copyright © 2011 Muhammad Asif Zahoor Raja 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.


A stochastic technique has been developed for the solution of fractional order system represented by Bagley-Torvik equation. The mathematical model of the equation was developed with the help of feed-forward artificial neural networks. The training of the networks was made with evolutionary computational intelligence based on genetic algorithm hybrid with pattern search technique. Designed scheme was successfully applied to different forms of the equation. Results are compared with standard approximate analytic, stochastic numerical solvers and exact solutions.