Journal
ADVANCES IN DIFFERENCE EQUATIONS
Volume -, Issue -, Pages -Publisher
SPRINGER
DOI: 10.1186/1687-1847-2014-65
Keywords
Riemann-Liouville fractional differential operator; Euler-Lagrange equation; Riesz fractional derivative; generalized KdV equations; He's variational-iteration method; solitary wave
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This paper presents the formulation of the time-fractional generalized Korteweg-de Vries equation (KdV) using the Euler-Lagrange variational technique in the Riemann-Liouville derivative sense and derives an approximate solitary wave solution. Our results show that He's variational-iteration method is a very efficient technique for finding the solution of the proposed equation and extend the existing
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