Distributed-order fractional wave equation on a finite domain. Stress relaxation in a rod
Mathematical Physics
2011-01-10 v1 math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1005.3379,
title = {Distributed-order fractional wave equation on a finite domain. Stress relaxation in a rod},
author = {Teodor M. Atanackovic and Stevan Pilipovic and Dusan Zorica},
journal= {arXiv preprint arXiv:1005.3379},
year = {2011}
}