Time-fractional Cahn-Allen and time-fractional Klein-Gordon equations: Lie symmetry analysis, explicit solutions and convergence analysis
Time-fractional Cahn-Allen and time-fractional Klein-Gordon equations: Lie symmetry analysis, explicit solutions and convergence analysis
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DOI：
10.1016/j.physa.2017.10.010
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发表时间：
2018-03-01
影响因子：
3.3
通讯作者：
Baleanu, Dumitru
中科院分区：
文献类型：
--
作者：
Inc, Mustafa;Yusuf, Abdullahi;Baleanu, Dumitru
研究了含Riemann-Liouville（RL）导数的时间分数阶Cahn-Allen（CA）方程和时间分数阶Klein-Gordon（KG）方程的对称性分析、显式解和收敛性分析.将时间分数阶CA和时间分数阶KG化为相应的分数阶非线性常微分方程。我们使用显式幂级数方法求解约化的分数阶常微分方程。对所得显式解进行了收敛性分析。给出了得到的显式解的一些图形。(C)2017爱思唯尔B. V.保留所有权利。
This research analyzes the symmetry analysis, explicit solutions and convergence analysis to the time fractional Cahn-Allen (CA) and time-fractional Klein-Gordon (KG) equations with Riemann-Liouville (RL) derivative. The time fractional CA and time fractional KG are reduced to respective nonlinear ordinary differential equation of fractional order. We solve the reduced fractional ODEs using an explicit power series method. The convergence analysis for the obtained explicit solutions are investigated. Some figures for the obtained explicit solutions are also presented. (C) 2017 Elsevier B.V. All rights reserved.