Fractional-order derivatives appear in various engineering applications including models for viscoelastic damping. Damping behavior of materials, if modeled using linear, constant coefficient differential equations, cannot include the long memory that fractional-order deriative require.
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Singh, S.J., Chatterjee, A. (2007). Fractional Damping: Stochastic Origin and Finite Approximations. In: Sabatier, J., Agrawal, O.P., Machado, J.A.T. (eds) Advances in Fractional Calculus. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-6042-7_27
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DOI: https://doi.org/10.1007/978-1-4020-6042-7_27
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