Turkish Journal of Mathematics and Computer Science

Yazarlar: Mehmet MERDAN, Pınar ORAL

Konular:Mühendislik

Anahtar Kelimeler:Local fractional decomposition method,Fractional Klein-Gordon equation,Riemann-Liouville derivative

Özet: 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.

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