Mohyud-Din S.T.Yıldırım A.2019-10-262019-10-2620121046283X1046-283Xhttps://doi.org/10.1007/s10598-012-9133-2https://hdl.handle.net/11454/18844In this paper, we present a framework to obtain the solutions to the fractional vibration equation by the homotopy perturbation method. The fractional derivative is described in the Caputo sense. Our method performs extremely well in terms of efficiency and simplicity. Numerical results are presented graphically showing the complete reliability of the proposed algorithm. © 2012 Springer Science+Business Media, Inc.en10.1007/s10598-012-9133-2info:eu-repo/semantics/closedAccessCaputo derivativeFractional vibration equationHomotopy perturbation methodMittag-leffler functionWave velocityArticle232228237Q4