List of all peer reviewed papers
- S. Jelić, D. Zorica, Wave propagation in three-dimensional fractional viscoelastic infinite solid body, Physica D: Nonlinear Phenomena, 464 (2024) 134185–1–30.
- S. Jelić, D. Zorica, Stress and power as a response to harmonic excitation of a fractional anti-Zener and Zener type viscoelastic body, Zeitschrift für Angewandte Mathematik und Mechanik, 104 (2024) e202300968–1–33.
- S. Jelić, D. Zorica, Energy balance for fractional anti-Zener and Zener models in terms of relaxation modulus and creep compliance, Applied Mathematical Modelling, 123 (2023) 688–728.
- D. Zorica, S. Cvetićanin, Dissipative and generative fractional RLC circuits in the transient regime, Applied Mathematics and Computation, 459 (2023) 128227–1–31.
- S. Jelić, D. Zorica, Fractionalization of anti-Zener and Zener models via rheological analogy, Acta Mechanica, 234 (2023) 313-354.
- J. Kovačević, S. M. Cvetićanin, D. Zorica, Electromagnetic field in a conducting medium modeled by the fractional Ohm’s law, Communications in Nonlinear Science and Numerical Simulation, 114 (2022) 106706-1-31.
- K. Haska, D. Zorica, S. M. Cveticanin, Frequency characteristics of dissipative and generative fractional RLC circuits, Circuits, Systems, and Signal Processing, 41 (2022) 4717–4754.
- S. Jelic, D. Zorica, Fractional Burgers wave equation on a finite domain, Chaos, Solitons and Fractals, 154 (2022) 111632-1-26.
- M. (Premović) Cvjetićanin, D. Zorica, V. Krstonosić, M. Hadnadjev, I. Stojanac, B. Ramić, M. Drobac, Lj. Petrović, T. Atanacković, The influence of temperature on rheological properties of three root canal sealers, Materiale Plastice, 59 (2022) 174-182.
- K. Haska, S. M. Cveticanin, D. Zorica, Dissipative and generative fractional electric elements in modeling RC and RL circuits, Nonlinear Dynamics, 105 (2021) 3451-3474.
- K. Haska, D. Zorica, S. M. Cveticanin, Fractional RLC circuit in transient and steady state regimes, Communications in Nonlinear Science and Numerical Simulation, 96 (2021) 105670-1-17.
- S. Cveticanin, D. Zorica, M. Rapaic, Non-local telegrapher equation as a transmission line model, Applied Mathematics and Computation, 390 (2021) 125602-1-18.
- D. Zorica, Lj. Oparnica, Energy dissipation for hereditary and energy conservation for non-local fractional wave equations, Philosophical Transactions of the Royal Society A, 378 (2020) 20190295-1-24.
- S. Cveticanin, D. Zorica, M. Rapaic, Frequency characteristics of two topologies representing fractional order transmission line model, Circuits, Systems, and Signal Processing, 39 (2020) 456-473.
- A. Okuka, D. Zorica, Fractional Burgers models in creep and stress relaxation tests, Applied Mathematical Modelling, 77 (2020) 1894-1935.
- D. Zorica, Hereditariness and non-locality in wave propagation modelling, Theoretical and Applied Mechanics, 47 (2020) 19-31.
- Lj. Oparnica, D. Zorica, A. Okuka, Fractional Burgers wave equation, Acta Mechanica, 230 (2019) 4321-4340.
- T. M. Atanackovic, Lj. Oparnica, D. Zorica, Bifurcation analysis of the rotating axially compressed nano-rod with imperfections, Zeitschrift fuer Angewandte Mathematik und Mechanik, 99 (2019) e201800284-1-20.
- S. Konjik, Lj. Oparnica, D. Zorica, Distributed-order fractional constitutive stress-strain relation in wave propagation modeling, Zeitschrift fuer Angewandte Mathematik und Physik, 70 (2019) 51-1-21.
- A. Okuka, D. Zorica, Formulation of thermodynamically consistent fractional Burgers models, Acta Mechanica, 229 (2018) 3557-3570.
- D. Zorica, S. M. Cveticanin, Fractional telegraphers equation as a consequence of Cattaneo heat conduction law generalization, Theoretical and Applied Mechanics, 45 (2018) 35-51.
- T. M. Atanackovic, S. Pilipovic, D. Zorica, Properties of the Caputo-Fabrizio fractional derivative and its distributional settings, Fractional Calculus and Applied Analysis, 21 (2018) 29-44.
- Y. Bouras, D. Zorica, T. M. Atanackovic, Z. Vrcelj, A non-linear thermo-viscoelastic rheological model based on fractional derivatives for high temperature creep in concrete, Applied Mathematical Modelling, 55 (2018) 551-568.
- V. Zeli, D. Zorica, Analytical and numerical treatment of the heat conduction equation obtained via time-fractional distributed-order heat conduction law, Physica A: Statistical Mechanics and its Applications, 492 (2018) 2316-2335.
- G. Hoermann, Lj. Oparnica, D. Zorica, Solvability and microlocal analysis of the fractional Eringen wave equation, Mathematics and Mechanics of Solids, 23 (2018) 1420-1430.
- D. Zorica, N. Challamel, M. Janev, T. Atanackovic, Buckling and postbuckling of a heavy compressed nanorod on elastic foundation, Journal of Nanomechanics and Micromechanics, 7 (2017) 04017004-1-6.
- S. M. Cveticanin, D. Zorica, M. R. Rapaic, Generalized time-fractional telegrapher equation in transmission line modeling, Nonlinear Dynamics, 88 (2017) 1453-1472.
- D. Zorica, T. M. Atanackovic, Z. Vrcelj, B. N. Novakovic, Dynamic stability of an axially loaded non-local rod on a generalized Pasternak foundation, Journal of Engineering Mechanics. ASCE, 143 (2017) D4016003-1-10.
- D. Zorica, M. Zigic, N. Grahovac, Viscoelastic body colliding against a rigid wall with and without dry friction effects, Applied Mathematical Modelling, 45 (2017) 365-382.
- G. Hoermann, Lj. Oparnica, D. Zorica, Microlocal analysis of fractional wave equations, Zeitschrift fuer Angewandte Mathematik und Mechanik, 97 (2017) 217-225.
- T. M. Atanackovic, M. Janev, S. Pilipovic, D. Zorica, Euler-Lagrange equations for Lagrangians containing complex order fractional derivatives, Journal of Optimization Theory and Applications, 174 (2017) 256-275.
- T. M. Atanackovic, S. Konjik, S. Pilipovic, D. Zorica, Complex order fractional derivatives in viscoelasticity, Mechanics of Time-Dependent Materials, 20 (2016) 175-195.
- B. Petronijevic, I. Sarcev, D. Zorica, M. Janev, T. M. Atanackovic, Fractional two-compartmental model for articaine serum levels, Heat and Mass Transfer, 52 (2016) 1125-1130.
- Lj. M. Petrovic, D. M. Zorica, I. Lj. Stojanac, V. S. Krstonosic, M. S. Hadnadjev, M. B. Janev, M. T. Premovic, T. M. Atanackovic, Viscoelastic properties of uncured resin composites: Dynamic oscillatory shear test and fractional derivative model, Dental Materials, 31 (2015) 1003-1009.
- T. M. Atanackovic, Y. Bouras, D. Zorica, Nano- and viscoelastic Beck column on elastic foundation, Acta Mechanica, 226 (2015) 2335-2345.
- T. M. Atanackovic, M. Janev, S. Konjik, S. Pilipovic, D. Zorica, Vibrations of an elastic rod on a viscoelastic foundation of complex fractional Kelvin-Voigt type, Meccanica, 50 (2015) 1679-1692.
- T. M. Atanackovic, M. Janev, Lj. Oparnica, S. Pilipovic, D. Zorica, Space-time fractional Zener wave equation, Proceedings of the Royal Society A, 471 (2015) 201406141-1-25.
- T. M. Atanackovic, B. N. Novakovic, Z. Vrcelj, D. Zorica, Rotating nanorod with clamped ends, International Journal of Structural Stability and Dynamics, 15 (2015) 1450050-1-8.
- T. M. Atanackovic, M. Janev, S. Pilipovic, D. Zorica, Convergence analysis of a numerical scheme for two classes of non-linear fractional differential equations, Applied Mathematics and Computation, 243 (2014) 611-623.
- T. M. Atanackovic, S. Pilipovic, D. Zorica, An initial value problem arising in mechanics, Archive of Applied Mechanics, 84 (2014) 219-233.
- T. M. Atanackovic, M. Janev, S. Konjik, S. Pilipovic, D. Zorica, Expansion formula for fractional derivatives in variational problems, Journal of Mathematical Analysis and Applications, 409 (2014) 911-924.
- T. M. Atanackovic, D. Zorica, Stability of the rotating compressed nano-rod, Zeitschrift fuer Angewandte Mathematik und Mechanik, 94 (2014) 499-504.
- Lj. M. Petrovic, D. M. Zorica, I. Lj. Stojanac, V. S. Krstonosic, M. S. Hadnadjev, T. M. Atanackovic, A model of the viscoelastic behavior of flowable resin composites prior to setting, Dental Materials, 29 (2013) 929-934.
- T. M. Atanackovic, M. Janev, S. Pilipovic, D. Zorica, An expansion formula for fractional derivatives of variable order, Central European Journal of Physics, 11 (2013) 1350-1360.
- N. Challamel, D. Zorica, T. M. Atanackovic, D. T. Spasic, On the fractional generalization of Eringen nonlocal elasticity for wave propagation, Comptes Rendus de Mecanique, 341 (2013) 298-303.
- T. M. Atanackovic, D. Zorica, On the Bagley-Torvik equation, Journal of Applied Mechanics. Transactions of the ASME, 80 (2013) 041013-1-4.
- T. M. Atanackovic, S. Pilipovic, D. Zorica, Forced oscillations of a body attached to a viscoelastic rod of fractional derivative type, International Journal of Engineering Science, 64 (2013) 54-65.
- T. M. Atanackovic, S. Konjik, Lj. Oparnica, D. Zorica, The Cattaneo type space-time fractional heat conduction equation, Continuum Mechanics and Thermodynamics, 24 (2012) 293-311.
- T. M. Atanackovic, M. Janev, S. Pilipovic, D. Zorica, Complementary variational principles with fractional derivatives, Acta Mechanica, 223, (2012) 685-704.
- T. M. Atanackovic, S. Pilipovic, D. Zorica, Distributed-order fractional wave equation on a finite domain: creep and forced oscillations of a rod, Continuum Mechanics and Thermodynamics, 23 (2011) 305-318.
- T. M. Atanackovic, S. Pilipovic, D. Zorica, Distributed-order fractional wave equation on a finite domain. Stress relaxation in a rod, International Journal of Engineering Science, 49 (2011) 175-190.
- T. M. Atanackovic, S. Konjik, Lj. Oparnica, D. Zorica, Thermodynamical restrictions and wave propagation for a class of fractional order viscoelastic rods, Abstract and Applied Analysis, 2011 (2011) ID975694, 32p.
- S. Konjik, Lj. Oparnica, D. Zorica, Waves in viscoelastic media described by a linear fractional model, Integral Transforms and Special Functions, 22 (2011) 283-291.
- S. Konjik, Lj. Oparnica, D. Zorica, Waves in fractional Zener type viscoelastic media, Journal of Mathematical Analysis and Applications, 365 (2010) 259-268.
- T. M. Atanackovic, S. Pilipovic, D. Zorica, Time distributed order diffusion-wave equation. I. Volterra-type equation, Proceedings of the Royal Society A, 465 (2009) 1869-1891.
- T. M. Atanackovic, S. Pilipovic, D. Zorica, Time distributed order diffusion-wave equation. II. Applications of Laplace and Fourier transformations, Proceedings of the Royal Society A, 465 (2009) 1893-1917.
- T. M. Atanackovic, S. Pilipovic, D. Zorica, Existence and calculation of the solution to the time distributed order diffusion equation, Physica Scripta, T136 (2009) 014012 (6pp).
- T. M. Atanackovic, S. Pilipovic, D. Zorica, Diffusion wave equation with two fractional derivatives of different order, Journal of Physics A: Mathematical and Theoretical 40 (2007) 5319-5333.