Distributed-order fractional wave equation on a finite domain. Stress relaxation in a rod

Details Distributed-order fractional wave equation on a finite domain. Stress relaxation in a rod Distributed-order fractional wave equation on a finite domain. Stress relaxation in a rod

2010-05-19

arxiv.org/abs/1005.3379v1

International Journal of Engineering Science 49 (2011) 175-190

Physics

Mathematical Physics

Scientific paper

10.1016/j.ijengsci.2010.11.004

We study waves in a rod of finite length with a viscoelastic constitutive equation of fractional distributed-order type for the special choice of weight functions. Prescribing boundary conditions on displacement, we obtain case corresponding to stress relaxation. In solving system of differential and integro-differential equations we use the Laplace transformation in the time domain.

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