101 citations
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math-ph2012★ 25 cited
Forced oscillations of a body attached to a viscoelastic rod of fractional derivative type
Teodor M. Atanackovic, Stevan Pilipovic, Dusan Zorica
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…
math-ph2010★ 76 cited
Distributed-order fractional wave equation on a finite domain. Stress relaxation in a rod
Teodor M. Atanackovic, Stevan Pilipovic, Dusan Zorica
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 boun…