Analytical study of time-fractional order Klein-Gordon equation

被引：33
作者：
Tamsir, Mohammad [1 ]
Srivastava, Vineet K. [2 ,3 ]
机构：
[1] DDU Gorakhpur Univ, Dept Math & Stat, Gorakhpur 273009, Uttar Pradesh, India
[2] ISRO Telemetry Tracking & Command Network, Flight Dynam Operat Div, Bangalore 560058, Karnataka, India
[3] Indian Sch Mines, Dept Appl Math, Dhanbad 826004, Bihar, India
来源：
ALEXANDRIA ENGINEERING JOURNAL | 2016年 / 55卷 / 01期
关键词：
Klein-Gordon equations; Fractional reduced differential transform method; Caputo time derivative; Exact solution; APPROXIMATE ANALYTICAL SOLUTION; DECOMPOSITION METHOD; DIFFUSION EQUATION; SCHEME;
D O I：
10.1016/j.aej.2016.01.025
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this article, we study an approximate analytical solution of linear and nonlinear time-fractional order Klein-Gordon equations by using a recently developed semi analytical method referred as fractional reduced differential transform method with appropriate initial condition. In the study of fractional Klein-Gordon equation, fractional derivative is described in the Caputo sense. The validity and efficiency of the aforesaid method are illustrated by considering three computational examples. The solution profile behavior and effects of different fraction Brownian motion on solution profile of the three numerical examples are shown graphically. (C) 2016 Faculty of Engineering, Alexandria University. Production and hosting by Elsevier B.V.
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收藏
页码：561 / 567
页数：7
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