On The Solutions of Nonlinear Fractional Klein-Gordon Equation by Means of Local Fractional Derivative Operators

Authors : Mehmet MERDAN, Pınar ORAL

Pages : 19-31

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Publication Date : 2016-12-30

Article Type : Research Paper

Abstract :In this paper, an application of the local fractional decomposition method insert ignore into journalissuearticles values(LFDM); is analyzed to search  for an approximate analytical solution of nonlinear fractional Klein-Gordon equation. The fractional derivatives are  described in Jumarie’s modified Riemann-Liouville sense. A new application of the local fractional decomposition  method insert ignore into journalissuearticles values(LFDM); is extended to derive the approximate solutions in series form for this model problem. Solutions  have been plotted for di erent values of the fractional order. It is concluded that the solutions for nonlinear partial  equations with Riemann- Liouville derivative obtained with LFDM are useful, reliable and efficient.
Keywords : Local fractional decomposition method, fractional Klein Gordon equation, Riemann Liouville derivative