166 citations · 229 across the 15 of their papers we have counts for
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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:…
Generalized Hamilton's Principle with Fractional Derivatives
Teodor M. Atanackovic, Sanja Konjik, Ljubica Oparnica +1
We generalize Hamilton's principle with fractional derivatives in Lagrangian $L(t,y(t),{}_0D_t^\al y(t),α)$ so that the function and the order of fractional derivative are…
Variational problems with fractional derivatives: Invariance conditions and Nöther's theorem
Teodor M. Atanackovic, Sanja Konjik, Stevan Pilipovic +1
A variational principle for Lagrangian densities containing derivatives of real order is formulated and the invariance of this principle is studied in two characteristic cases. Nec…
Variational Problems with Fractional Derivatives: Euler-Lagrange Equations
Teodor M. Atanackovic, Sanja Konjik, Stevan Pilipovic
We generalize the fractional variational problem by allowing the possibility that the lower bound in the fractional derivative does not coincide with the lower bound of the integra…