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

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作者
K. Aruna
A. S. V. Ravi Kanth
机构
[1] VIT University,Fluid Dynamics Division, School of Advanced Sciences
[2] NIT Kurukshetra,Department of Mathematics
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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);
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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 α. Three test examples are given to demonstrate the ability of both the methods for solving fractional nonlinear equation.
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页码:163 / 171
页数:8
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