Applications of He′s Variational Principle method and the Kudryashov method to nonlinear time-fractional differential equations

نویسندگان

  • Mozhgan Akbari
  • Nasir Taghizadeh
  • N. Taghizadeh
چکیده

In this paper, we establish exact solutions for the timefractional Klein-Gordon equation, and the time-fractional HirotaSatsuma coupled KdV system. The Hes semi-inverse and the Kudryashov methods are used to construct exact solutions of these equations. We apply Hes semi-inverse method to establish a variational theory for the time-fractional Klein-Gordon equation, and the timefractional Hirota-Satsuma coupled KdV system. Based on this formulation, a solitary solution can be easily obtained using the Ritz method. The Kudryashov method is used to construct exact solutions of the time-fractional Klein-Gordon equation, and the time-fractional Hirota-Satsuma coupled KdV system. Moreover, it is observed that the suggested techniques are compatible with the physical nature of such problems.

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Applications of He’s Variational Principle method and the Kudryashov method to nonlinear time-fractional differential equations

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تاریخ انتشار 2016