In 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.
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Mohyud-Din, S.T., Yıldırım, A. An algorithm for solving the fractional vibration equation. Comput Math Model 23, 228–237 (2012). https://doi.org/10.1007/s10598-012-9133-2
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DOI: https://doi.org/10.1007/s10598-012-9133-2