dr Dusan Zorica

DUSANZORICA

 

full research professor

Mathematical Institute,

Serbian Academy of Arts and Sciences

(holding a title, but not employed)

 

full professor

Department of Physics,

Faculty of Sciences,

University of Novi Sad

 

E-mail: dusan_zorica @ mi.sanu.ac.rs

E-mail: dusan.zorica @ df.uns.ac.rs

 

Biography

 

Date and place of birth: March 20th 1977, Subotica, Serbia.

Education:

2009

University of Novi Sad, Faculty of Technical Sciences

 

Doctoral thesis title: Distributed-order diffusion-wave equation

2003 - 2006

Postgraduate studies: Mechanics, University of Novi Sad, Faculty of Technical Sciences

 

Thesis title: Diffusion-wave equation with two fractional derivatives of different order

2001 - 2003

Postgraduate studies of the Theory of Elementary Particles, University of Belgrade, Faculty of Physics - degree has not been obtained

1996 - 2001

Graduated from University of Novi Sad, Faculty of Mathematics and Natural Sciences, curriculum of Physics

1992 - 1996

Grammar school S. Markovic, Subotica, curriculum of mathematics and natural sciences

 

Working experience:

2020 - ...

Full professor - University of Novi Sad, Faculty of Sciences, Department of Physics, Novi Sad

2020 - ...

Full research professor - Mathematical Institute,

Serbian Academy of Arts and Sciences, Beograd

2015 - 2020

Associate professor - University of Novi Sad, Faculty of Sciences, Department of Physics, Novi Sad

2015 - 2020

Associate research professor - Mathematical Institute,

Serbian Academy of Arts and Sciences, Beograd

2011 - 2015

Assistant research professor - Mathematical Institute,

Serbian Academy of Arts and Sciences, Beograd

2009 - 2011

Assistant professor - University of Novi Sad, Faculty of Civil Engineering, Subotica

2006 - 2009

Senior teaching assistant - University of Novi Sad, Faculty of Civil Engineering, Subotica

2001 - 2006

Junior teaching assistant - University of Novi Sad, Faculty of Civil Engineering, Subotica

 

Monographs/monograph chapter

 

1.     D. Zorica, S. M. Cveticanin, Transmission line modeling by fractional and topological generalization of the telegraphers equation, in A. G. Radwan, F. A. Khanday, L. A. Said (Editors), Fractional-Order Modeling of Dynamic Systems with Applications in Optimization, Signal Processing, and Control, Elsevier - Academic Press, 2021, London.

2.     T. M. Atanackovic, S. Pilipovic, B. Stankovic, D. Zorica, Fractional Calculus with Applications in Mechanics: Vibrations and Diffusion Processes, ISTE - Wiley, 2014, London.

3.     T. M. Atanackovic, S. Pilipovic, B. Stankovic, D. Zorica, Fractional Calculus with Applications in Mechanics: Wave Propagation, Impact and Variational Principles, ISTE - Wiley, 2014, London.

 

Refereed journal papers

 

1.     S. Jelic, D. Zorica, Fractionalization of anti-Zener and Zener models via rheological analogy, Acta Mechanica, 234 (2023) 313-354.

2.     J. Kovacevic, S. M. Cveticanin, D. Zorica, Electromagnetic field in a conducting medium modeled by the fractional Ohm law, Communications in Nonlinear Science and Numerical Simulation, 114 (2022) 106706-1-31.

3.     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.

4.     S. Jelic, D. Zorica, Fractional Burgers wave equation on a finite domain, Chaos, Solitons and Fractals, 154 (2022) 111632-1-26.

5.     M. (Premović) Cvjeticanin, D. Zorica, V. Krstonosic, M. Hadnadjev, I. Stojanac, B. Ramić, M. Drobac, Lj. Petrovic, T. Atanackovic, The influence of temperature on rheological properties of three root canal sealers, Materiale Plastice, 59 (2022) 174-182.

6.     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.

7.     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.

8.     S. Cveticanin, D. Zorica, M. Rapaic, Non-local telegrapher equation as a transmission line model, Applied Mathematics and Computation, 390 (2021) 125602-1-18.

9.     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.

10.  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.

11.  A. Okuka, D. Zorica, Fractional Burgers models in creep and stress relaxation tests, Applied Mathematical Modelling, 77 (2020) 1894-1935.

12.  D. Zorica, Hereditariness and non-locality in wave propagation modelling, Theoretical and Applied Mechanics, 47 (2020) 19-31.

13.  Lj. Oparnica, D. Zorica, A. Okuka, Fractional Burgers wave equation, Acta Mechanica, 230 (2019) 4321-4340.

14.  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.

15.  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.

16.  A. Okuka, D. Zorica, Formulation of thermodynamically consistent fractional Burgers models, Acta Mechanica, 229 (2018) 3557-3570.

17.  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.

18.  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.

19.  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.

20.  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.

21.  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.

22.  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.

23.  S. M. Cveticanin, D. Zorica, M. R. Rapaic, Generalized time-fractional telegrapher equation in transmission line modeling, Nonlinear Dynamics, 88 (2017) 1453-1472.

24.  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.

25.  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.

26.  G. Hoermann, Lj. Oparnica, D. Zorica, Microlocal analysis of fractional wave equations, Zeitschrift fuer Angewandte Mathematik und Mechanik, 97 (2017) 217-225.

27.  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.

28.  T. M. Atanackovic, S. Konjik, S. Pilipovic, D. Zorica, Complex order fractional derivatives in viscoelasticity, Mechanics of Time-Dependent Materials, 20 (2016) 175-195.

29.  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.

30.  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.

31.  T. M. Atanackovic, Y. Bouras, D. Zorica, Nano- and viscoelastic Beck column on elastic foundation, Acta Mechanica, 226 (2015) 2335-2345.

32.  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.

33.  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.

34.  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.

35.  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.

36.  T. M. Atanackovic, S. Pilipovic, D. Zorica, An initial value problem arising in mechanics, Archive of Applied Mechanics, 84 (2014) 219-233.

37.  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.

38.  T. M. Atanackovic, D. Zorica, Stability of the rotating compressed nano-rod, Zeitschrift fuer Angewandte Mathematik und Mechanik, 94 (2014) 499-504.

39.  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.

40.  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.

41.  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.

42.  T. M. Atanackovic, D. Zorica, On the Bagley-Torvik equation, Journal of Applied Mechanics. Transactions of the ASME, 80 (2013) 041013-1-4.

43.  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.

44.  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.

45.  T. M. Atanackovic, M. Janev, S. Pilipovic, D. Zorica, Complementary variational principles with fractional derivatives, Acta Mechanica, 223, (2012) 685-704.

46.  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.

47.  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.

48.  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.

49.  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.

50.  S. Konjik, Lj. Oparnica, D. Zorica, Waves in fractional Zener type viscoelastic media, Journal of Mathematical Analysis and Applications, 365 (2010) 259-268.

51.  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.

52.  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.

53.  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).

54.  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.

 

Conference papers/abstracts

 

1.     D. Zorica, Lj. Oparnica, Energy balance for fractional wave equations, 14th Conference of the Society of Physicists of Macedonia (CSPM 2022), 15 - 18. IX 2022, Ohrid, Macedonia - paper.

2.     K. Haska, D. Zorica, S. M. Cveticanin, Transient regime of fractional RLC circuit, in A. Dzielinski, D. Sierociuk, P. Ostalczyk (Editors), Proceedings of the International Conference on Fractional Differentiation and its Applications (ICFDA21), Lecture Notes in Networks and Systems, Volume 452, Springer Nature, Cham, 2022 - paper.

3.     D. Zorica, Hereditariness and non-locality in wave propagation modelling, 7th Congress of the Serbian Society of Mechanics, 24 - 26. VI 2018, Sremski Karlovci, Serbia - paper.

4.     Q. Xi, Z. Fu, N. Spasojević, D. Zorica, Fractional heat conduction equation on bounded twodimensional domain, 7th Congress of the Serbian Society of Mechanics, 24 - 26. VI 2018, Sremski Karlovci, Serbia - abstract.

5.     D. Zorica, S. M. Cveticanin, Fractional telegraphers equation in modeling transmission lines and heat conduction, 12th Conference of the Society of Physicists of Macedonia (CSPM 2018), 27 - 30. IX 2018, Ohrid, Macedonia - paper.

6.     S. M. Cveticanin, M. R. Rapaic, D. Zorica, Frequency analysis of generalized time-fractional telegraphers equation, European Conference on Circuit Theory and Design (ECCTD 2017), 4 - 6. IX 2017, Catania, Italy, 10.1109/ECCTD.2017.8093252 - paper.

7.     G. Hoermann, Lj. Oparnica, D. Zorica, Non-local wave equation using fractional stress-gradient Eringens constitutive law, 8th International Conference Transform Methods and Special Functions 2017 (TMSF2017), 27 - 31. VIII 2017, Sofia, Bulgaria - abstract.

8.     D. Zorica, T. Atanackovic, Z. Vrcelj, B. Novakovic, Non-local axially loaded rod placed on viscoelastic and Pasternak type foundation: dynamic stability analysis, 6th Congress of the Serbian Society of Mechanics, 19 - 21. VI 2017, Tara, Serbia - abstract.

9.     T. Atanackovic, Y. Bouras, D. Zorica, Beck column on Winkler foundation modelled by non-local and hereditary constitutive equation, 2016 EMI (Engineering Mechanics Institute) International Conference, 25 - 27. X 2016, Metz, France - abstract.

10.  T. Atanackovic, G. Hoermann, M. Janev, Lj. Oparnica, S. Pilipovic, D. Zorica, Zener wave equation: hereditary and non-local effects, International Conference on Fractional Differentiation and its Applications (ICFDA2016), 18 - 20. VII 2016, Novi Sad, Serbia - abstract.

11.  A. Grillo, D. Zorica, Space-time fractional Jeffreys-type heat equation, 2014 International Conference on Fractional Differentiation and its Applications (ICFDA14), 23 - 25. VI 2014, Catania, Italy - abstract.

12.  D. Zorica, M. Zigic, N. Grahovac, Problem of a body impacting against a rigid wall, 2014 International Conference on Fractional Differentiation and its Applications (ICFDA14), 23 - 25. VI 2014, Catania, Italy - abstract.

13.  T. Atanackovic, S. Pilipovic, D. Zorica, Forced oscillations of the rod-body system, 2014 International Conference on Fractional Differentiation and its Applications (ICFDA14), 23 - 25. VI 2014, Catania, Italy - abstract.

14.  T. Atanackovic, S. Pilipovic, D. Zorica, Vibrations of a system: body and viscoelastic rod of solid or fluid-like fractional type, 84th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), 18 - 22. III 2013, Novi Sad, Serbia - abstract.

15.  T. Atanackovic, S. Pilipovic, D. Zorica, Forced oscillations of a body attached to a solid or fluid-like viscoelastic rod of fractional type, International Scientific Conference On Mechanics (MECH2012), 19 - 22. XI 2012, Sofia, Bulgaria - abstract.

16.  T. Atanackovic, S. Pilipovic, D. Zorica, Forced oscillations of a body attached to a light fractional viscoelastic rod, Contemporary Problems of Mechanics and Applied Mathematics, 50 Years of Seminar for Analysis and Foundations of Mathematics Led by Academician Bogoljub Stankovic, 3 - 6. IX 2012, University of Novi Sad, Serbia - abstract.

17.  T. Atanackovic, S. Pilipovic, D. Zorica, Vibrations of a system: viscoelastic rod of fractional type and body attached to the rod, II International Conference on Contemporary Problems of Mathematics, Mechanics and Computer Science, 17 - 19. VI 2012, State University of Novi Pazar, Serbia - abstract.

18.  T. Atanackovic, S. Pilipovic, D. Zorica, Distributed-order wave equation on a finite domain. Creep and forced oscillations of a rod, 4th Serbian-Greek Symposium ˮRecent Advances in Mechanicsˮ, 9 - 10. VII 2011, Vlasina Lake, Serbia - abstract.

19.  D. Zorica, Heat Conduction of Fractional Cattaneo Type, Workshop on Macroscopic Modeling of Materials with Fine Structure, 26 - 28. V 2011, Carnegie Mellon University, Pittsburgh, PA, USA (work in collaboration with T. Atanackovic, S. Konjik and Lj. Oparnica) - abstract.

20.  T. Atanackovic, S. Pilipovic, D. Zorica, Stress relaxation in a viscoelastic rod described by a constitutive equation of distributed-order type, 4th IFAC Workshop Fractional Differentiation and its Applications (FDA10), 18 - 20. X 2010, Badajoz, Spain - paper.

21.  T. Atanackovic, A. Grillo, G. Wittum, D. Zorica, An application of fractional calculus to growth mechanics, 4th IFAC Workshop Fractional Differentiation and its Applications (FDA10), 18 - 20. X 2010, Badajoz, Spain - paper.

22.  T. Atanackovic, A. Grillo, G. Wittum, D. Zorica, Fractional Jeffreys-type diffusion equation, 4th IFAC Workshop Fractional Differentiation and its Applications (FDA10), 18 - 20. X 2010, Badajoz, Spain - paper.

23.  D. Zorica, A few generalizations of the wave equation within the theory of fractional calculus, Generalized Functions - Special Edition 2010 (GFSE10), 3 - 6. VI 2010, Novi Sad, Serbia (work in collaboration with S. Pilipovic, T. Atanackovic, S. Konjik and Lj. Oparnica) - abstract.

24.  D. Zorica, Distributional time distributed-order diffusion-wave equation, International Conference on Generalized Functions (GF2009), 31. VIII - 4. IX 2009, Vienna, Austria (work in collaboration with T. Atanackovic and S. Pilipovic) - abstract.

25.  D. Zorica, Forced oscillations of a rod made of viscoelastic material of fractional derivative type, 2nd International Congress of Serbian Society of Mechanics (IConSSM-2009), 1 - 5. VI 2009, Palic, Serbia - paper.

26.  S. Konjik, Lj. Oparnica, D. Zorica, Fractional Zener wave equation, 2nd International Congress of Serbian Society of Mechanics (IConSSM-2009), 1 - 5. VI 2009, Palic, Serbia - paper.

27.  T. Atanackovic, S. Pilipovic, D. Zorica, Time distributed order diffusion equation, 3rd IFAC Workshop Fractional Differentiation and its Applications (FDA08), 5 - 7. XI 2008, Cankaya University, Ankara, Turkey - paper.

28.  T. Atanackovic, S. Pilipovic, D. Zorica, Time distributed order wave equation, 3rd Serbian-Greek Symposium, 15 - 17. IX 2008, Novi Sad, Serbia - abstract.

29.  T. Atanackovic, S. Pilipovic, D. Zorica, Diffusion-wave equation with two fractional derivatives, 1st International Congress Of Serbian Society of Mechanics (1st  ICSSM-2007), 10 - 13. IV 2007, Kopaonik, Serbia - paper.