The Laplace series solution for local fractional Korteweg-de Vries equation

In this paper, we consider a new application of the local fractional Laplace series expansion method to handle the local fractional Korteweg-de Vries equation. The obtained solution with non-differentiable type shows that the technology is accurate and efficient.

[1]  Hari M. Srivastava,et al.  A new numerical technique for solving the local fractional diffusion equation: Two-dimensional extended differential transform approach , 2016, Appl. Math. Comput..

[2]  José António Tenreiro Machado,et al.  A New Family of the Local Fractional PDEs , 2017, Fundam. Informaticae.

[3]  Jamshad Ahmad,et al.  Analytic solutions of the Helmholtz and Laplace equations by using local fractional derivative operators , 2015 .

[4]  Hari M. Srivastava,et al.  Local fractional similarity solution for the diffusion equation defined on Cantor sets , 2015, Appl. Math. Lett..

[5]  Hossein Jafari,et al.  On the Exact Solution of Wave Equations on Cantor Sets , 2015, Entropy.

[6]  Hari M. Srivastava,et al.  An asymptotic perturbation solution for a linear oscillator of free damped vibrations in fractal medium described by local fractional derivatives , 2015, Commun. Nonlinear Sci. Numer. Simul..

[7]  H. Srivastava,et al.  Local Fractional Integral Transforms and Their Applications , 2015 .

[8]  Yuan Cao,et al.  Local Fractional Functional Method for Solving Diffusion Equations on Cantor Sets , 2014 .

[9]  Habibolla Latifizadeh Reconstructive schemes for variational iteration method within Yang-Laplace transform with application to fractal heat conduction problem , 2013 .

[10]  Sheng-Ping Yan LOCAL FRACTIONAL LAPLACE SERIES EXPANSION METHOD FOR DIFFUSION EQUATION ARISING IN FRACTAL HEAT TRANSFER , 2015 .

[11]  Hassan Kamil Jassim,et al.  Local Fractional Laplace Variational Iteration Method for Solving Diffusion and Wave Equations on Cantor Sets within Local Fractional Operators , 2015 .

[12]  Hong-yan Liu,et al.  Fractional calculus for nanoscale flow and heat transfer , 2014 .

[13]  Rubayyi T. Alqahtani,et al.  On the Solution of Local Fractional Differential Equations Using Local Fractional Laplace Variational Iteration Method , 2016 .