166 citations · 229 across the 15 of their papers we have counts for
16 papers
Control theory for nonlinear fractional dispersive systems
Maja Jolić, Sanja Konjik, Darko Mitrović
We consider a terminal control problem for processes governed by a nonlinear system of fractional ODEs. In order to show existence of the control, we first consider the linear coun…
Global Controllability for Quasilinear Non-negative Definite System of ODEs and SDEs
Jasmina Djordjevic, Sanja Konjik, Darko Mitrović +1
We consider exact and averaged control problem for a system of quasi-linear ODEs and SDEs with a non-negative definite symmetric matrix of the system. The strategy of the proof is…
Distributed order fractional constitutive stress-strain relation in wave propagation modeling
Sanja Konjik, Ljubica Oparnica, Dusan Zorica
Distributed order fractional model of viscoelastic body is used in order to describe wave propagation in infinite media. Existence and uniqueness of fundamental solution to the gen…
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…
A regularization approach to non-smooth symplectic geometry
Guenther Hoermann, Sanja Konjik, Michael Kunzinger
We introduce non-smooth symplectic forms on manifolds and describe corresponding Poisson structures on the algebra of Colombeau generalized functions. This is achieved by establish…