Solution of Fractional Order System of Bagley‐Torvik Equation Using Evolutionary Computational Intelligence | Zendy

Muhammad Asif Zahoor Raja | Zendy; Junaid Ali Khan | Zendy; Ijaz Mansoor Qureshi | Zendy

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

Author(s) -

Muhammad Asif Zahoor Raja,

Junaid Ali Khan,

Ijaz Mansoor Qureshi

Publication year - 2011

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2011/675075

Subject(s) - artificial neural network , scheme (mathematics) , order (exchange) , genetic algorithm , computer science , mathematics , mathematical optimization , computational intelligence , evolutionary algorithm , artificial intelligence , mathematical analysis , finance , economics

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

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