Series solution of nonlinear dynamic system containing fractional derivative

Authors:
A. K. Alomari;M. S. M. Noorani;R. Nazar;M. Darus
Affiliations:
School of Mathematical Sciences, Universiti Kebangsaan Malaysia, Bangi, Selangor, Malaysia;School of Mathematical Sciences, Universiti Kebangsaan Malaysia, Bangi, Selangor, Malaysia;School of Mathematical Sciences, Universiti Kebangsaan Malaysia, Bangi, Selangor, Malaysia;School of Mathematical Sciences, Universiti Kebangsaan Malaysia, Bangi, Selangor, Malaysia
Venue:
MATH'08 Proceedings of the 13th WSEAS international conference on Applied mathematics
Year:
2008

Citing 1
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A novel method for nonlinear fractional partial differential equations: Combination of DTM and generalized Taylor's formula

Journal of Computational and Applied Mathematics

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Abstract

Series solution of nonlinear dynamic system containing fractional derivative is obtained by the homotopy analysis method (HAM). The solution via HAM has auxiliary parameter h which can control the convergent of the series to obey the exact or numerical solution. The model of viscoelastic behavior of a one-degree-of-freedom oscillator consisting of a discrete mass and a viscoelastic spring is considered to show the efficiency of HAM for this kind of system.