LOCAL TIME FRACTIONAL REDUCED DIFFERENTIAL TRANSFORM METHOD FOR SOLVING LOCAL TIME FRACTIONAL TELEGRAPH EQUATIONS

Yu-Ming Chu, Maher Jneid (), Abir Chaouk (), Mustafa Inc (), Hadi Rezazadeh () and Alphonse Houwe ()
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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

FRACTALS (fractals), 2024, vol. 32, issue 04, 1-11

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.

Keywords: Yang’s Local Fractional Derivative (LFD); LTFRDTM; Local Fractional Telegraph Equation; Approximate Solution (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S0218348X2340128X

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