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

Year 2016, Volume: 5 , 19 - 31, 30.12.2016

Mehmet Merdan , Pınar Oral

Abstract

In this paper, an application of the local fractional decomposition method (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 (LFDM) is extended to derive the approximate solutions in series form for this model problem. Solutions have been plotted for dierent 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

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