This special section features contributions that address vibration and wave motion in a new way.

The classical models (linear and nonlinear) of vibration involve systems of ordinary and partial differential equations of integer order. Interpolation between first- and second-order models, for example, is possible using the tools of fractional calculus (integration and differentiation of arbitrary real order). Such tools are increasingly being applied to model the dynamics of complex materials and systems in mechanics, acoustics, and bioengineering.

This special section is motivated by our desire to bring together in one place a collection of articles that describe both the depth and breadth of fractional analysis in vibration and acoustics. The contributing researchers have shared their expertise and knowledge so that others can learn how to apply the methods of fractional calculus. We present both fundamental and applied studies spanning discrete and continuous systems and that involve fractional derivatives defined in...

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