1.Voronezh State University, Institute of Mathematics,Voronezh,Russia;2.Voronezh State University,Voronezh,Russia;3.Southern Mathematical Institute,Vladikavkaz,Russia;4.Russia Peoples’ Friendship University of Russia,Moscow,Russia
Abstract:
We establish the existence and uniqueness of a weak solution to an initial boundary value problem for the system of the motion equations of a fluid that is a fractional analog of the Voigt viscoelasticity model. The rheological equation of the model contains fractional derivatives.