Dr Dusan Zorica

associate research professor

 

Mathematical Institute,

Serbian Academy of Arts and Sciences,

Kneza Mihaila 36, Beograd

 

 

 

E-mail: dusan_zorica @ mi.sanu.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:

2015 - . . .

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

2015 - . . .

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

 

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

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

 

Refereed journal papers

 

1.       G. Hoermann, Lj. Oparnica, D. Zorica, Solvability and microlocal analysis of the fractio-nal Eringen wave equation, Mathematics and Mechanics of Solids, accepted.

2.       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.

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

4.       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.

5.       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.

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

7.       T. M. Atanackovic, M. Janev, S. Pilipovic, D. Zorica, Euler-Lagrange equations for Lagran-gians containing complex order fractional derivatives, Journal of Optimization Theory and Applications, 174 (2017) 256-275.

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

9.       B. Petronijevic, I. Sarcev, D. Zorica, M. Janev, T. M. Atanackovic, Fractional two-compart-mental model for articaine serum levels, Heat and Mass Transfer, 52 (2016) 1125-1130.

10.   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.

11.   T. M. Atanackovic, Y. Bouras, D. Zorica, Nano- and viscoelastic Beck’s column on elas-tic foundation, Acta Mechanica, 226 (2015) 2335-2345.

12.   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.

13.   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.

14.   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.

15.   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.

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

17.   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.

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

19.   Lj. M. Petrovic, D. M. Zorica, I. Lj. Stojanac, V. S. Krstonosic, M. S. Hadnadjev, T. M. Ata-nackovic, A model of the viscoelastic behavior of flowable resin composites prior to setting, Dental Materials, 29 (2013) 929-934.

20.   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.

21.   N. Challamel, D. Zorica, T. M. Atanackovic, D. T. Spasic, On the fractional generalization of Eringen’s nonlocal elasticity for wave propagation, Comptes Rendus de Mécanique, 341 (2013) 298-303.

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

23.   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.

24.   T. M. Atanackovic, S. Konjik, Lj. Oparnica, D. Zorica, The Cattaneo type space-time frac-tional heat conduction equation, Continuum Mechanics and Thermodynamics, 24 (2012) 293-311.

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

26.   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.

27.   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.

28.   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.

29.   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.

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

31.   T. M. Atanackovic, S. Pilipovic, D. Zorica, Time distributed order diffusion-wave equa-tion. I. Volterra-type equation, Proceedings of the Royal Society A, 465 (2009) 1869-1891.

32.   T. M. Atanackovic, S. Pilipovic, D. Zorica, Time distributed order diffusion-wave equa-tion. II. Applications of Laplace and Fourier transformations, Proceedings of the Royal Society A, 465 (2009) 1893-1917.

33.   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).

34.   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, 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.

2.       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.

3.       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.

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

5.       D. Zorica, M. Zigic, N. GrahovacProblem 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.

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

7.       T. Atanackovic, S. Pilipovic, D. ZoricaVibrations 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.

8.       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.

9.       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.

10.   T. Atanackovic, S. Pilipovic, D. Zorica, Vibrations of a system: viscoelastic rod of frac-tional 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.

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

12.   D. Zorica, Heat Conduction of Fractional Cattaneo Type, Workshop on Macroscopic Mo-deling 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.

13.   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.

14.   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.

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

16.   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.

17.   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.

18.   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.

19.   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.

20.   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.

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

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