Lie symmetry analysis of the time fractional KdV-type equation
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[1] V. E. Tarasov. Fractional Dynamics: Applications of Fractional Calculus to Dynamics of Particles, Fields and Media , 2011 .
[2] R. Sahadevan,et al. Invariant analysis of time fractional generalized Burgers and Korteweg–de Vries equations , 2012 .
[3] M. A. Abdou,et al. Adomian decomposition method for solving fractional nonlinear differential equations , 2006, Appl. Math. Comput..
[4] R. K. Gazizov,et al. Symmetry properties of fractional diffusion equations , 2009 .
[5] S. Ray. Analytical solution for the space fractional diffusion equation by two-step Adomian Decomposition Method , 2009 .
[6] Evelyn Buckwar,et al. Invariance of a Partial Differential Equation of Fractional Order under the Lie Group of Scaling Transformations , 1998 .
[7] G. Jumarie,et al. Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable functions further results , 2006, Comput. Math. Appl..
[8] R. K. Gazizov,et al. Construction of exact solutions for fractional order differential equations by the invariant subspace method , 2013, Comput. Math. Appl..
[9] Xi-Qiang Liu,et al. Lie symmetry analysis to the time fractional generalized fifth-order KdV equation , 2013, Commun. Nonlinear Sci. Numer. Simul..
[10] R. Zhdanov,et al. CONDITIONAL LIE-BACKLUND SYMMETRY AND REDUCTION OF EVOLUTION EQUATIONS , 1995 .
[11] Fokas As,et al. Nonlinear interaction of traveling waves of nonintegrable equations. , 1994 .
[12] Renio S. Mendes,et al. Fractional diffusion equation and Green function approach: Exact solutions , 2006 .
[13] Guy Jumarie. Cauchy's integral formula via the modified Riemann-Liouville derivative for analytic functions of fractional order , 2010, Appl. Math. Lett..
[14] S. Momani,et al. Solving systems of fractional differential equations using differential transform method , 2008 .
[15] E. S. Ismail,et al. Approximate analytical solution to fractional modified KdV equations , 2009, Math. Comput. Model..
[16] Tian-Zhou Xu,et al. Symmetry properties and explicit solutions of the nonlinear time fractional KdV equation , 2013 .