Authors: Atanacković, Teodor
Pilipović, Stevan
Zorica, Dušan 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Forced oscillations of a body attached to a viscoelastic rod of fractional derivative type
Journal: International Journal of Engineering Science
Volume: 64
First page: 54
Last page: 65
Issue Date: 4-Feb-2013
Rank: M21
ISSN: 0020-7225
DOI: 10.1016/j.ijengsci.2012.12.006
Abstract: 
We study forced oscillations of a rod with a body attached to its free end so that the motion of a system is described by two sets of equations, one of integer and the other of the fractional order. To the constitutive equation we associate a single function of complex variable that plays a key role in finding the solution of the system and in determining its properties. This function could be defined for a linear viscoelastic bodies of integer/fractional derivative type.
Keywords: Distributed-order fractional derivative | Forced oscillations of a body | Forced oscillations of a rod | Fractional derivative | Fractional viscoelastic material
Publisher: Elsevier
Project: Viscoelasticity of fractional type and shape optimization in a theory of rods 
Methods of Functional and Harmonic Analysis and PDE with Singularities 
Secretariat for Science of Vojvodina, Grant 114-451-2167

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