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oai:gumushane-rdlopen.rawdatalibrary.net:gumushane/157832026-10-23T18:25:55Zopenairecom_gumushane_10000col_gumushane_10001com_gumushane_10007col_gumushane_10171

On the solutions of nonlinear fractional Klein-Gordon equation with modified Riemann-Liouville derivativeMerdan, MehmetFractional Klein-Gordon equationFractional variational iteration methodRiemann-Liouville derivativeIn this paper, fractional variational iteration method (FVIM) is applied for finding approximate analytical solutions of nonlinear fractional Klein-Gordon equation. Time-fractional derivative is described in the Riemann-Liouville sense. A new application of fractional variational iteration method (FVIM) is extended to derive analytical solutions in the form of a series for this equation. The behavior of the solutions and the effects of different values of fractional order α are indicated graphically. It is shown that the solutions obtained by the FVIM are reliable, convenient and effective for strongly nonlinear partial equations with modified Riemann-Liouville derivative.Elsevier Inc.2014Review Articlehttps://rdlopen.rawdatalibrary.net/r/gumushane/15783https://doi.org/10.1016/j.amc.2014.06.0130096-3003enApplied Mathematics and Computationinfo:eu-repo/semantics/closedAccessinfo:eu-repo/semantics/reviewhttps://gumushane-rdlopen.rawdatalibrary.net/tr/items/gumushane/15783