Merdan, MehmetGokdogan, AhmetYildirim, Ahmet2019-10-272019-10-2720130025-64551572-96480025-64551572-9648https://doi.org/10.1007/s11012-012-9661-zhttps://hdl.handle.net/11454/47385In this article, the multi-step differential transform method (MsDTM) is applied to give approximate solutions of nonlinear ordinary differential equation such as fractional-non-linear oscillatory and vibration equations. The results indicate that the method is very effective and sufficient for solving non-linear differential equations of fractional order.en10.1007/s11012-012-9661-zinfo:eu-repo/semantics/openAccessMulti-step differential transform methodRayleighDuffingVander Pol equation and vibrationNon-linear oscillatory equationsOn numerical solution to fractional non-linear oscillatory equationsArticle48512011213WOS:000321846900013Q2Q1