F. Broucke, Lj. Oparnica, Distributed-order time-fractional wave equations. Z. Angew. Math. Phys. 74, 19, 2023. doi.org/10.1007/s00033-022-01899-2.
S. Gordić, T. Levajković and Lj. Oparnica, On a Wick-type stochastic parabolic equations with random potentials. Partial Differential Equations in Applied Mathematics, Vol. 7, 2022. doi.org/10.1016/j.padiff.2022.100473
R. Blommaert, S. Lazendić, and Lj. Oparnica. The Euler-Bernoulli equation with distributional coefficients and forces. Computers & Mathematics with Applications 123, 171-183, 2022. doi.org/10.1016/j.camwa.2022.08.011
F. Broucke, Lj. Oparnica, Micro-local and qualitative analysis of the fractional Zener wave equation. J. Differ. Equ. 321, 217–257, 2022. doi.org/10.1016/j.jde.2022.03.006
S. Gordić, T. Levajković and Lj. Oparnica, Stochastic parabolic equations with singular potentials. Chaos, Solitons and Fractals, Vol. 151, 111245, 2021. doi.org/10.1016/j.chaos.2021.111245
D. Zorica and Lj.Oparnica, Energy dissipation for hereditary and energy conservation for non-local fractional wave equations. Phil. Trans. R. Soc. A. 378: 20190295, 2020. doi.org/10.1098/rsta.2019.0295
Lj. Oparnica and E. Süli. Well-posedness of the fractional Zener wave equation for heterogenous viscoelastic materials. Fractional Calculus and Applied Analysis. 23(1), 126-166, 2020. doi.org/10.1515/fca-2020-0005
Lj. Oparnica, D. Zorica, and A. Okuka, Fractional Burgers wave equation, Acta Mechanica. 230(12), 4321-4340, 2019. doi.org/10.1007/s00707-019-02500-0
T. M. Atanacković, Lj. Oparnica, and D. Zorica. Bifurcation analysis of rotating axially compressed imperfect nano-rod. ZAMM, Z. Angew. Math. Mech., 99:e201800284–1–20, 2019. doi.org/10.1002/zamm.201800284
S. Konjik, Lj. Oparnica, and D. Zorica. Distributed-order fractional constitutive stress-strain relation in wave propagation modeling. Zeitschrift für angewandte Mathematik und Physik, 70:51, 2019. doi.org/10.1007/s00033-019-1097-z
G. Hörmann, Lj. Oparnica, and D. Zorica. Solvability and microlocal analysis of the fractional Eringen wave equation. Mathematics and Mechanics of Solids, 23(10):1420–1430, 2018. doi.org/10.1177/108128651772637
G. Hörmann, Lj. Oparnica, and D. Zorica. Microlocal analysis of fractional wave equations. ZAMM, Z. Angew. Math. Mech., 97(2):217–225, 2017. doi.org/10.1002/zamm.201600036
T. M. Atanacković, M. Janev, Lj. Oparnica, S. Pilipović, and D. Zorica. Space-time fractional Zener wave equation. Proc. A., 471(2174):20140614, 25, 2015. doi.org/10.1098/rspa.2014.0614
G. Hörmann, S. Konjik, and Lj. Oparnica. Generalized solutions for the Euler-Bernoulli model with Zener viscoelastic foundations and distributional forces. Anal. Appl. (Singap.), 11(2):1350017, 21, 2013. doi.org/10.1142/S0219530513500176
T. M. Atanacković, S. Konjik, Lj. Oparnica, and D. Zorica. The Cattaneo type space-time fractional heat conduction equation. Contin. Mech. Thermodyn., 24(4-6):293–311, 2012. DOI 10.1007/s00161-011-0199-4
S. Konjik, Lj. Oparnica, and D. Zorica. Waves in viscoelastic media described by a linear fractional model. Integral Transforms Spec. Funct., 22(4-5):283–291, 2011. doi.org/10.1080/10652469.2010.541039
T. M. Atanacković, S. Konjik, Lj. Oparnica, and D. Zorica. Thermodynamical restrictions and wave propagation for a class of fractional order viscoelastic rods. Abstr. Appl. Anal., pages Art. ID 975694, 32, 2011.
T. M. Atanacković, S. Konjik, Lj. Oparnica, and S. Pilipović. Generalized Hamilton’s principle with fractional derivatives. J. Phys. A, 43(25):255203, 12, 2010.
S. Konjik, Lj. Oparnica, and D. Zorica. Waves in fractional Zener type viscoelastic media. J. Math. Anal. Appl., 365(1):259–268, 2010. doi:10.1016/j.jmaa.2009.10.043
T. M. Atanacković, Lj. Oparnica, and S. Pilipović. Semilinear ordinary differential equation coupled with distributed order fractional differential equation. Nonlinear Anal., 72(11):4101–4114, 2010. doi.org/10.1016/j.na.2010.01.042
T. M. Atanacković, Lj. Oparnica, and S. Pilipović. Distributional framework for solving fractional differential equations. Integral Transforms Spec. Funct., 20(3-4):215–222, 2009. doi.org/10.1080/10652460802568069
G. Hörmann and Lj. Oparnica. Generalized solutions for the Euler-Bernoulli model with distributional forces. J. Math. Anal. Appl., 357(1):142–153, 2009.
Lj. Oparnica. Generalized functions in mechanical models, Differential and fractional differential equations, PhD thesis, Verlag Dr. Möler, Berlin, 2009.
T. M. Atanacković, Lj. Oparnica, and S. Pilipović. On a nonlinear distributed order fractional differential equation. J. Math. Anal. Appl., 328(1):590–608, 2007.
G. Hörmann and Lj. Oparnica. Distributional solution concepts for the Euler-Bernoulli beam equation with discontinuous coefficients. Appl. Anal., 86(11):1347–1363, 2007. doi.org/10.1080/00036810701595944
T. M. Atanacković, Lj. Oparnica, and S. Pilipović. On a model of viscoelastic rod in unilateral contact with a rigid wall. IMA Journal of Applied Mathematics, Volume 71, Issue 1, Pages 1–13, 2006. doi.org/10.1093/imamat/hxh081
Lj. Oparnica. Generalized fractional calculus with applications in mechanics. Matematički vesnik, volume 54, pages 151–158, 2002.
M. Nikolić and Lj. Oparnica, Mišljenje učitelja o ispunjenosti standarda kvaliteta sadržaja odabranih udžbenika matematike (Teachers' opinion on meeting the content quality standards of selected mathematics textbooks) in Textbooks: Old subject facing the challenges of the modern age. Editors: Pešikan, A., Stevanović, J. Zbornik instituta za pedagoška istraživanja, 217-229, 2019.
M. Marić, M. Mihajlović and Lj. Oparnica. Instrument za procenu motivacije i strategija samoregulacije u učenju matematike (SRUM). (Instrument for assessing motivation and strategy of self-regulation in learning mathematics) Nastava i Vaspitanje, 67, 2018.
M. Zobenica and Lj. Oparnica. Neke komponente samoregulacije tokom učenja matematike kod studenata Pedagoškog fakulteta u Somboru. (Some components of self-regulation during learning mathematics in students at Faculty of Education in Sombor) Inovacije u nastavi, pages 90--102, 2018.
Lj. Oparnica, M. Marić, and M. Mihajlović. Assessing metacognition and self-regulated learning in prospective mathematics teachers in Serbia. In 42nd ATEE Annual Conference 2017: Changing perspectives and approaches in contemporary teaching, Conference proceeding, Editors: Marija Sablić, Alma Škugor, Ivana Djurdjević Babić, pages 19--34. Association for Teacher Education in Europe (ATEE), Brussels, Belgium, 2018.
Lj. Oparnica, S. Sudžuković, and M. Zobenica. Permutations in lower grades of primary school. NORMA, (2):137--149, 2016.
Lj. Oparnica, S. Sudžuković, and M. Zobenica. Probability in primary school. In Education and the Social Challenges at the Beginning of the 21st century, Editors Petrović, D. Antolović, M., number 3-4, pages 121--135. 2016.
S. Gordić, T. Levajković, Lj. Oparnica, Stochastic parabolic equations in Kondratiev spaces
S. Gordić, S. Lazendić, T. Levajković, Lj. Oparnica, Parabolic equations with singularities
S. Gordić, Lj. Oparnica, D. Zorica, Wave propagation in viscoelastic media obeying Zener constitutive law
S. Gordić, M. Mihajlović, and Lj. Oparnica. Uvod u statistiku, Teorija, primeri, zadaci, (Introductory statistics, Theory, examples and exercises), on Serbian, Faculty of Education, University of Novi Sad, Sombor, 2023.
S. Gordić, M. Mihajlović, and Lj. Oparnica. Zbirka zadataka iz kombinatorike i verovatnoće, (A collection of exercises in Combinatorics and Probability), on Serbian, Faculty of Education, University of Novi Sad, Sombor, 2018.
Lj. Oparnica. Kombinatorika i verovatnoća, Teorija, primeri, zadaci, (Combinatorics and Probability, Theory, examples and exercises), on Serbian, Faculty of Education, University of Novi Sad, Sombor, 2014.