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On a system of equations arising in viscoelasticity theory of fractional type

By Teodor M. Atanackovic, Stevan Pilipovic and Dusan Zorica

Abstract

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

Topics: Mathematical Physics
Publisher: 'Graduate School of Science, Moscow University of Finance and Law'
Year: 2012
DOI identifier: 10.18262/ammp.2015.0101-03
OAI identifier: oai:arXiv.org:1205.5343

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