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A High Order Numerical Scheme For Fractal-Fractional Laser System With Chaos Study

Author

Listed:
  • SARA S. ALZAID

    (Department of Mathematics, College of Science, King Saud University, P. O. Box 1142, Riyadh 11989, Saudi Arabia)

  • R. P. CHAUHAN

    (Department of Mathematics, National Institute of Technology, Jamshedpur, 831014 Jharkhand, India)

  • SUNIL KUMAR

    (Department of Mathematics, College of Science, King Saud University, P. O. Box 1142, Riyadh 11989, Saudi Arabia2Department of Mathematics, National Institute of Technology, Jamshedpur, 831014 Jharkhand, India3Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, UAE4Department of Mathematics, University Centre for Research and Development, Chandigarh University, Gharuan, Mohali, Punjab, India)

  • BADR SAAD T. ALKAHTANI

    (Department of Mathematics, College of Science, King Saud University, P. O. Box 1142, Riyadh 11989, Saudi Arabia)

Abstract

The primary goal of this research is to look into the dynamical behavior of a fractional and fractal-fractional (FF) order laser chaotic model. The model is first considered with Caputo’s fractional derivative. An iterative technique based on the Laplace transform and its inverse aspect is used to achieve a particular solution for the fractional model. The existence of a unique solution is examined for the fractional laser chaotic model. Next, the laser chaotic model is addressed with a FF approach in the Caputo sense. The approximate results are achieved for the proposed fractional and FF models by using the Atangana–Seda numerical methods. The dynamical structures are plotted at various values of fractional and FF parameters.

Suggested Citation

  • Sara S. Alzaid & R. P. Chauhan & Sunil Kumar & Badr Saad T. Alkahtani, 2022. "A High Order Numerical Scheme For Fractal-Fractional Laser System With Chaos Study," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(05), pages 1-19, August.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:05:n:s0218348x22401831
    DOI: 10.1142/S0218348X22401831
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