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.
Local fractional decomposition method fractional Klein-Gordon equation Riemann-Liouville derivative
Subjects | Engineering |
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Journal Section | Articles |
Authors | |
Publication Date | December 30, 2016 |
Published in Issue | Year 2016 Volume: 5 |