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An Analytical Technique Implemented in the Fractional Clannish Random Walker’s Parabolic Equation with Nonlinear Physical Phenomena

Author

Listed:
  • Md. Nur Alam

    (Department of Mathematics, Pabna University of Science & Technology, Pabna 6600, Bangladesh)

  • Imran Talib

    (Department of Mathematics and Statistics, Faculty of Science and Technology, Virtual University of Pakistan, Lahore 54000, Pakistan)

  • Omar Bazighifan

    (Department of Mathematics, Faculty of Science, Hadhramout University, Hadhramout 50512, Yemen)

  • Dimplekumar N. Chalishajar

    (Department of Applied Mathematics, Virginia Military Institute, 435 Mallory Hall, Letcher Av, Lexington, VA 24450, USA)

  • Barakah Almarri

    (Mathematical Science Department, Faculty of Science, Princess Nourah bint Abdulrahman University, Riyadh 11564, Saudi Arabia)

Abstract

In this paper, the adapted (G′/G)-expansion scheme is executed to obtain exact solutions to the fractional Clannish Random Walker’s Parabolic (FCRWP) equation. Some innovative results of the FCRWP equation are gained via the scheme. A diverse variety of exact outcomes are obtained. The proposed procedure could also be used to acquire exact solutions for other nonlinear fractional mathematical models (NLFMMs).

Suggested Citation

  • Md. Nur Alam & Imran Talib & Omar Bazighifan & Dimplekumar N. Chalishajar & Barakah Almarri, 2021. "An Analytical Technique Implemented in the Fractional Clannish Random Walker’s Parabolic Equation with Nonlinear Physical Phenomena," Mathematics, MDPI, vol. 9(8), pages 1-10, April.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:8:p:801-:d:531628
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    References listed on IDEAS

    as
    1. Hijaz Ahmad & Ali Akgül & Tufail A. Khan & Predrag S. Stanimirović & Yu-Ming Chu, 2020. "New Perspective on the Conventional Solutions of the Nonlinear Time-Fractional Partial Differential Equations," Complexity, Hindawi, vol. 2020, pages 1-10, October.
    2. Ismail, G.M. & Abdl-Rahim, H.R. & Abdel-Aty, A. & Kharabsheh, R. & Alharbi, W. & Abdel-Aty, M., 2020. "An analytical solution for fractional oscillator in a resisting medium," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
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