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

被引：7

作者：

Chu, Yu-Ming ^{[1
]}

Jneid, Maher ^{[2
]}

Chaouk, Abir ^{[2
]}

Inc, Mustafa ^{[3
]}

Rezazadeh, Hadi ^{[4
]}

Houwe, Alphonse ^{[5
]}

机构：

[1] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China

[2] Beirut Arab Univ, Fac Sci, Dept Math & Comp Sci, Beirut, Lebanon

[3] Firat Univ, Sci Fac, Dept Math, TR-23119 Elazig, Turkiye

[4] Amol Univ Special Modern Technol, Fac Engn Technol, Amol, Iran

[5] Univ Maroua, Fac Sci, Dept Phys, POB 814, Maroua, Cameroon

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2024年 / 32卷 / 04期

关键词：

Yang's Local Fractional Derivative (LFD); LTFRDTM; Local Fractional Telegraph Equation; Approximate Solution; NUMERICAL TECHNIQUE;

D O I：

10.1142/S0218348X2340128X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 mu = 1. It also required minimal amount of computational work and saved a lot of time.

引用

页数：11

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