166 citations · 363 across the 11 of their papers we have counts for
12 papers
Wave equation for generalized Zener model containing complex order fractional derivatives
Teodor M. Atanacković, Marko Janev, Sanja Konjik +1
We study waves in a viscoelastic rod whose constitutive equation is of generalized Zener type that contains fractional derivatives of complex order. The restrictions following from…
Nano and viscoelastic Beck's column on elastic foundation
Teodor M. Atanackovic, Yanni Bouras, Dusan Zorica
Beck's type column on Winkler type foundation is the subject of the present analysis. Instead of the Bernoulli-Euler model describing the rod, two generalized models will be adopte…
Complex order fractional derivatives in viscoelasticity
Teodor M. Atanacković, Sanja Konjik, Stevan Pilipović +1
We introduce complex order fractional derivatives in models that describe viscoelastic materials. This can not be carried out unrestrictedly, and therefore we derive, for the first…
On a initial value problem arising in mechanics
Teodor M. Atanackovic, Stevan Pilipovic, Dusan Zorica
We study initial value problem for a system consisting of an integer order and distributed-order fractional differential equation describing forced oscillations of a body attached…
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…
On a system of equations arising in viscoelasticity theory of fractional type
Teodor M. Atanackovic, Stevan Pilipovic, Dusan Zorica
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 ne…