Electronic Journal of Differential Equations,
Vol. 2014 (2014), No. 66, pp. 1-12.

Title: Solution of the KdV equation with fractional time derivative via
       variational method

Author: Youwei Zhang (Hexi Univ., Gansu, China)

Abstract:
 This article presents a formulation of the time-fractional generalized
 Korteweg-de Vries (KdV) equation using the Euler-Lagrange variational
 technique in the Riemann-Liouville derivative sense.
 It finds an approximate solitary wave solution, and shows that
 He's variational iteration method is an efficient technique in
 finding the solution.

Submitted November 5, 2013. Published March 07, 2014.
Math Subject Classifications: 35R11, 35G20.
Key Words: Riemann-Liouville fractional derivative; Euler-Lagrange equation;
           Riesz fractional derivative;  generalized KdV equation;
           He's variational iteration method;  solitary wave.