Computational Mathematics and Modeling

, Volume 23, Issue 2, pp 228–237 | Cite as

An algorithm for solving the fractional vibration equation

Article
First Online:

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.

Keywords

homotopy perturbation method Caputo derivative fractional vibration equation wave velocity Mittag-Leffler function 
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Copyright information

© Springer Science+Business Media, Inc. 2012

Authors and Affiliations

  1. 1.Department of MathematicsHITEC UniversityTaxilaPakistan
  2. 2.Department of MathematicsEge UniversityİzmirTurkey

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