166 citations · 229 across the 15 of their papers we have counts for
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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…
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…
Generalized solutions for the Euler-Bernoulli model with Zener viscoelastic foundations and distributional forces
Günther Hörmann, Sanja Konjik, Ljubica Oparnica
We study the initial-boundary value problem for an Euler-Bernoulli beam model with discontinuous bending stiffness laying on a viscoelastic foundation and subjected to an axial for…
Waves in fractional Zener type viscoelastic media
Sanja Konjik, Ljubica Oparnica, Dušan Zorica
Classical wave equation is generalized for the case of viscoelastic materials obeying fractional Zener model instead of Hooke's law. Cauchy problem for such an equation is studied:…
Symmetries of Conservation Laws
Sanja Konjik
The aim of this paper is to apply techniques of symmetry group analysis in solving two systems of conservation laws: a model of two strictly hyperbolic conservation laws and a zero…