Approximation Solutions for Local Fractional Schrödinger Equation in the One-Dimensional Cantorian System
Approximation Solutions for Local Fractional Schrödinger Equation in the One-Dimensional Cantorian System
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DOI：
10.1155/2013/291386
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发表时间：
2013-09
影响因子：
1.2
通讯作者：
Yang Zhao;Defu Cheng;Xiao-jun Yang
中科院分区：
文献类型：
--
作者：
Yang Zhao;Defu Cheng;Xiao-jun Yang
研究了一维康托集系统中的局部分数阶薛定谔方程。通过使用局部分数阶级数展开方法得到了近似解。所得解表明，该方法是求解局部分数阶导数范围内的线性偏微分方程的一种高效且简单的工具。
The local fractional Schrodinger equations in the one-dimensional Cantorian system are investigated. The approximations solutions are obtained by using the local fractional series expansion method. The obtained solutions show that the present method is an efficient and simple tool for solving the linear partial differentiable equations within the local fractional derivative.