%0 Journal Article
%T On a system of equations arising in viscoelasticity theory of fractional type
%A Teodor M. Atanackovic
%A Stevan Pilipovic
%A Dusan Zorica
%J Physics
%D 2012
%I arXiv
%R 10.18262/ammp.2015.0101-03
%X We study a system of partial differential equations with integer and fractional derivatives arising in the study of forced oscillatory motion of a viscoelastic rod. We propose a new approach considering a quotient of relations appearing in the constitutive equation instead the constitutive equation itself. Both, a rod and a body are assumed to have finite mass. The motion of a body is assumed to be translatory. Existence and uniqueness for the corresponding initial-boundary value problem is proved within the spaces of functions and distributions.
%U http://arxiv.org/abs/1205.5343v1