Basic Science Sector

Citation:

Sweilam, N. H., M. M. Khader, and R. F. Al-Bar, "Parameter Expansion Method for Viscoelastic Motion with Fractional Order Damping", Nonlinear Sci. Lett.A, 2011.

Abstract:

Fractional order partial differential equations are generalizations of classical partial differential equations. Increasingly, these models are used in applications in such as fluid flow, finance and others. This paper studies analytically a viscoelastic motion, which can be described by a fractionaldifferential equation. The parameter expansion method is adopted, and the result shows that oneiteration is sufficient to obtain a highly accurate solution, which is valid for the whole solutiondomain. The effect of fractional order on the amplitude-frequency behavior of the oscillator is alsoanalysed.

Notes:

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