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Local Time Fractional Reduced Differential Transform Method For Solving Local Time Fractional Telegraph Equations

Author

Listed:
  • YU-MING CHU

    (Department of Mathematics, Huzhou University, Huzhou 313000, P. R. China)

  • MAHER JNEID

    (��Department of Mathematics and Computer Science, Faculty of Science, Beirut Arab University, Beirut, Lebanon)

  • ABIR CHAOUK

    (��Department of Mathematics and Computer Science, Faculty of Science, Beirut Arab University, Beirut, Lebanon)

  • MUSTAFA INC

    (��Department of Mathematics, Science Faculty, Firat University, 23119 Elazig, Turkey)

  • HADI REZAZADEH

    (�Faculty of Engineering Technology, Amol University of Special Modern Technologies, Amol, Iran)

  • ALPHONSE HOUWE

    (�Department of Physics, Faculty of Science, University of Maroua, P. O. Box 814, Maroua, Cameroon)

Abstract

In this paper, we seek to find solutions of the local time fractional Telegraph equation (LTFTE) by employing the local time fractional reduced differential transform method (LTFRDTM). This method produces a numerical approximate solution having the form of an infinite series that converges to a closed form solution in many cases. We apply LTFRDTM on four different LTFTEs to examine the efficiency of the proposed method. The yielded results established the effectiveness of LTFRDTM as a reliable and solid approach for obtaining solutions of LTFTEs. The solutions coincided with the exact solution in the ordinary case when μ = 1. It also required minimal amount of computational work and saved a lot of time.

Suggested Citation

  • Yu-Ming Chu & Maher Jneid & Abir Chaouk & Mustafa Inc & Hadi Rezazadeh & Alphonse Houwe, 2024. "Local Time Fractional Reduced Differential Transform Method For Solving Local Time Fractional Telegraph Equations," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 32(04), pages 1-11.
    • Handle: RePEc:wsi:fracta:v:32:y:2024:i:04:n:s0218348x2340128x
    DOI: 10.1142/S0218348X2340128X
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