4.7 Article

Lie symmetry analysis of the time fractional KdV-type equation

Journal

APPLIED MATHEMATICS AND COMPUTATION
Volume 233, Issue -, Pages 439-444

Publisher

ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2014.02.010

Keywords

Fractional KdV-type equation; Lie symmetry analysis; Erdelyi-Kober operator; Riemann-Liouville derivative

Funding

  1. national natural science foundation of China [11371323, 11201425]
  2. natural science foundation of Zhejiang Province [Y6100611]

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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 Erdelyi-Kober fractional derivative. This method can also be applied to symmetry classification of fractional equations with some arbitrary functions. (C) 2014 Elsevier Inc. All rights reserved.

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