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

Author

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  • Muhammad Asif Zahoor Raja
  • Junaid Ali Khan
  • Ijaz Mansoor Qureshi

Abstract

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.

Suggested Citation

  • Muhammad Asif Zahoor Raja & Junaid Ali Khan & Ijaz Mansoor Qureshi, 2011. "Solution of Fractional Order System of Bagley-Torvik Equation Using Evolutionary Computational Intelligence," Mathematical Problems in Engineering, Hindawi, vol. 2011, pages 1-18, March.
    • Handle: RePEc:hin:jnlmpe:675075
    DOI: 10.1155/2011/675075
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    Cited by:

    1. Waseem, Waseem & Sulaiman, M. & Aljohani, Abdulah Jeza, 2020. "Investigation of fractional models of damping material by a neuroevolutionary approach," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    2. Talib, Imran & Noor, Zulfiqar Ahmad & Hammouch, Zakia & Khalil, Hammad, 2022. "Compatibility of the Paraskevopoulos’s algorithm with operational matrices of Vieta–Lucas polynomials and applications," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 202(C), pages 442-463.

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