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Analytical and Numerical Solutions for Fractional Viscoelastic Equations

Analytical and Numerical Solutions for Fractional Viscoelastic Equations

The fractional viscoelastic equation (FVE), which is a 2nd-order differential equation with fractional derivatives describing the dynamical behavior of a single-degree-of-freedom viscoelastic oscillator, is considered. Some viscoelastic damped mechanical systems may be described by FVEs. However, FVEs with conventional nonzero initial values cannot generally be solved. In this paper, the …