dr Dusan
Zorica |
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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 |
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Biography |
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Date and place of birth: March 20th
1977, Subotica, Serbia. Education:
Working experience:
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Monographs/monograph chapter |
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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. |
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Refereed journal papers |
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1.
S. Jelic, D. Zorica, Wave propagation in
three-dimensional fractional viscoelastic infinite solid
body, Physica D: Nonlinear Phenomena,
464 (2024) 134185-1-30. 2.
S. Jelic, 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. 3.
D. Zorica, S.
Cveticanin, Dissipative and
generative fractional RLC circuits in the transient regime,
Applied Mathematics and Computation, 459 (2023) 128227-1-31. 4.
S.
Jelic, D. Zorica, Fractionalization of anti-Zener and Zener models via rheological analogy, Acta Mechanica, 234 (2023)
313-354. 5.
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. 6.
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. 7.
S.
Jelic, D. Zorica, Fractional Burgers wave equation on a finite domain,
Chaos, Solitons and Fractals, 154 (2022)
111632-1-26. 8.
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. 9.
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. 10.
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. 11.
S.
Cveticanin, D. Zorica, M.
Rapaic, Non-local telegrapher
equation as a transmission line model, Applied Mathematics and
Computation, 390 (2021) 125602-1-18. 12.
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. 13.
14.
A.
Okuka, D. Zorica, Fractional Burgers models in creep
and stress relaxation tests, Applied Mathematical Modelling, 77 (2020) 1894-1935. 15.
D.
Zorica, Hereditariness and
non-locality in wave propagation modelling,
Theoretical and Applied Mechanics, 47 (2020) 19-31. 16.
Lj. Oparnica, D.
Zorica, A. Okuka, Fractional Burgers wave equation, Acta
Mechanica, 230 (2019) 4321-4340. 17.
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. 18.
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. 19.
A.
Okuka, D. Zorica, Formulation of thermodynamically consistent fractional Burgers models,
Acta Mechanica, 229
(2018) 3557-3570. 20.
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. 21.
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. 22.
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. 23.
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. 24.
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. 25.
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. 26.
S.
M. Cveticanin,
D. Zorica, M. R. Rapaic, Generalized time-fractional telegrapher equation in transmission line
modeling, Nonlinear Dynamics, 88 (2017) 1453-1472. 27.
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. 28.
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. 29. G. Hoermann,
Lj. Oparnica, D. Zorica, Microlocal analysis of
fractional wave equations, Zeitschrift fuer Angewandte Mathematik
und Mechanik, 97 (2017) 217-225. 30.
T.
M. Atanackovic, M. Janev,
31.
T.
M. Atanackovic, S. Konjik,
32.
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. 33.
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. 34.
T.
M. Atanackovic, Y. Bouras,
D. Zorica, Nano- and viscoelastic Beck column on elastic
foundation, Acta Mechanica,
226 (2015) 2335-2345. 35.
T.
M. Atanackovic, M. Janev,
S. Konjik, 36.
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. 37.
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. 38.
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. 39.
T.
M. Atanackovic, 40.
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. 41.
T.
M. Atanackovic, D. Zorica,
Stability of the rotating compressed nano-rod, Zeitschrift
fuer Angewandte Mathematik und Mechanik, 94
(2014) 499-504. 42.
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. 43.
T.
M. Atanackovic, M. Janev,
44.
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. 45.
T.
M. Atanackovic, D. Zorica,
On the Bagley-Torvik
equation, Journal of Applied Mechanics. Transactions of the ASME,
80 (2013) 041013-1-4. 46.
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. 47.
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. 48.
T.
M. Atanackovic, M. Janev,
49.
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. 50.
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. 51.
T.
M. Atanackovic, 52.
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. 53.
S.
Konjik, Lj. Oparnica, D. Zorica, Waves in fractional Zener type viscoelastic media, Journal of Mathematical
Analysis and Applications, 365 (2010) 259-268. 54. 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. 55. 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. 56. 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). 57. 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. |
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Conference papers/abstracts |
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1.
D. Zorica, Burgers model - fractionalization and wave propagation, 4th
International Symposium on Operational and Stochastic Methods in Fractional
Dynamics (MFD23), 5 - 9.
IX 2023, Krakow, Poland. 2.
S. Jelic, D. Zorica, Vibrations of a Viscoelastic Rod Modeled by fractional Burgers
constitutive equations, 9th International Congress of the Serbian
Society of Mechanics (ICSSM 2023), 5 - 7. VI 2023, Vrnjacka
Banja, Serbia. 3.
D. Zorica, S.
M. Cveticanin, M. R. Rapaic,
Fractional calculus in modelling
hereditariness and nonlocality in transmission lines, 11th International
Conference of the Balkan Physical Union (BPU11), 28. VIII - 1. IX 2022,
Belgrade, Serbia, DOI: 10.22323/1.427.0169. 4.
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. 5.
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. 6.
D. Zorica, Hereditariness and non-locality in wave propagation modelling, 7th Congress of the Serbian Society
of Mechanics, 24 - 26. VI 2018, 7.
Q. Xi, Z. Fu, 8.
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, 9.
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, 10.
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, 11.
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, 12.
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, 13.
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, 14.
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. 15.
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, 16.
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, 17.
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, 18.
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. 19.
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, 20.
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. 21.
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. 22. D. Zorica, Heat Conduction of Fractional Cattaneo Type,
Workshop on Macroscopic Modeling of Materials with Fine Structure, 26 - 28. V
2011, 23.
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, 24.
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, 25.
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, 26.
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, 27.
D.
Zorica, Distributional time
distributed-order diffusion-wave equation, International
Conference on Generalized Functions (GF2009), 31. VIII - 4. IX 2009, 28.
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, 29.
30.
T.
Atanackovic, S. Pilipovic,
D. Zorica, Time distributed order
diffusion equation, 3rd IFAC Workshop Fractional Differentiation
and its Applications (FDA08), 5 - 7. XI 2008, 31.
T.
Atanackovic, S. Pilipovic,
D. Zorica, Time distributed order
wave equation, 3rd Serbian-Greek Symposium, 15 - 17. IX
2008, 32.
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, |
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