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- W2015058218 abstract "Fractional order (or, shortly, fractional) derivatives are used in viscoelasticity since the late 1980s, and they grow more and more popular nowadays. However, their efficient numerical calculation is non-trivial, because, unlike integer-order derivatives, they require evaluation of history integrals in every time step. Several authors tried to overcome this difficulty, either by simplifying these integrals or by avoiding them. In this paper, the Adomian decomposition method is applied on a fractionally damped mechanical oscillator for a sine excitation, and the analytical solution of the problem is found. Also, a series expansion is derived which proves very efficient for calculations of transients of fractional vibration systems. Numerical examples are included." @default.
- W2015058218 created "2016-06-24" @default.
- W2015058218 creator A5030333107 @default.
- W2015058218 date "2010-03-01" @default.
- W2015058218 modified "2023-10-13" @default.
- W2015058218 title "Efficient solution of a vibration equation involving fractional derivatives" @default.
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- W2015058218 doi "https://doi.org/10.1016/j.ijnonlinmec.2009.10.006" @default.
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