THE ANALYTICAL SOLUTION OF TELEGRAPH EQUATION OF SPACE-FRACTIONAL ORDER DERIVATIVE BY THE ABOODH TRANSFORM METHOD

被引：0
|
作者：
Benattia, Mohamed Elarbi [1 ]
Belghaba, Kacem [2 ]
机构：
[1] High Sch Econ, Lab Math & Applicat LAMAP, Oran, Algeria
[2] Univ Oran 1, Lab Math & Applicat LAMAP, Oran, Algeria
来源：
INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS | 2020年 / 18卷 / 02期
关键词：
Aboodh Transform; fractional differential equation; Caputo fractional derivative; telegraph equation;
D O I：
10.28924/2291-8639-18-2020-243
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, an analytical solution based on the series expansion method is proposed to solve the telegraph equation of space - fractional order (TESFO), namely the Aboodh transformation method (ATM) subjected to the appropriate initial condition. Using ATM, it is possible to find exact solution or a closed approximate solution of a differential equation. Finally, several numerical examples are given to illustrate the accuracy and stability of this method.
引用
收藏
页码：243 / 253
页数：11
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