Lie symmetry analysis of the time fractional KdV-type equation
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摘要
The Lie symmetry analysis method is extended to deal with the time fractional KdV-type equation. It is shown that this equation can be reduced to an equation with the Erdélyi–Kober fractional derivative. This method can also be applied to symmetry classification of fractional equations with some arbitrary functions.
论文关键词:Fractional KdV-type equation,Lie symmetry analysis,Erdélyi–Kober operator,Riemann–Liouville derivative
论文评审过程:Available online 28 February 2014.
论文官网地址:https://doi.org/10.1016/j.amc.2014.02.010