Two-Dimensional Differential Transform Method and Modified Differential Transform Method for Solving Nonlinear Fractional Klein-Gordon Equation

被引：20

作者：

Aruna, K. ^{[1
]}

Kanth, A. S. V. Ravi ^{[2
]}

机构：

[1] VIT Univ, Sch Adv Sci, Fluid Dynam Div, Vellore 632014, Tamil Nadu, India

[2] NIT Kurukshetra, Dept Math, Kurukshetra 136119, Haryana, India

来源：

NATIONAL ACADEMY SCIENCE LETTERS-INDIA | 2014年 / 37卷 / 02期

关键词：

Nonlinear fractional Klein-Gordon; Caputo time-fractional derivative; Riemann-Liouville fractional integral operator; Differential transform method (DTM); Modified differential transform method (MDTM); CONTROLLERS; SYSTEM;

D O I：

10.1007/s40009-013-0209-0

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, two-dimensional differential transform method and modified differential transform method applied successfully for finding the approximate analytical solution of the nonlinear fractional Klein-Gordon equation. The plotted graph illustrates the behavior of the solution for different values of fractional order alpha. Three test examples are given to demonstrate the ability of both the methods for solving fractional nonlinear equation.

引用

页码：163 / 171

页数：9

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