Edit Profile (opens in new tab) Atanackovic, Teodor M. Compute Distance To: Compute Author ID: atanackovic.teodor-m Published as: Atanackovic, T. M.; Atanackovic, Teodor M.; Atanacković, T. M.; Atanacković, Teodor M.; Atanacković, Teodor; Atanackovic, T.; Atanacković, T.; Atanackovic, Teodor; Atanackovic, Teodor M more...less Homepage: http://www.mi.sanu.ac.rs/cv/pubatanackovic.htm External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp Documents Indexed: 177 Publications since 1974, including 4 Books 2 Contributions as Editor · 1 Further Contribution Reviewing Activity: 232 Reviews Co-Authors: 49 Co-Authors with 143 Joint Publications 802 Co-Co-Authors all top 5 Co-Authors 36 single-authored 44 Pilipović, Stevan 25 Stanković, Bogoljub 22 Đukić, Đorđe Slavka 22 Zorica, Dusan 13 Janev, Marko 12 Konjik, Sanja 8 Novakovic, Branislava N. 6 Oparnica, Ljubica 6 Spasic, Dragan T. 5 Achenbach, M. 5 Cveticanin, L. J. 5 Glavardanov, Valentin B. 4 Baclic, B. S. 4 Strauss, Alvin M. 4 Vrcelj, Zora 3 Jones, S. E. 3 Müller, Ingo 2 Bouras, Yanni 2 Doličanin, Diana 2 Guran, Ardéshir 2 Jeličić, Zoran D. 2 Seĭranyan, Aleksandr Paruĭrovich 2 Simic, Srboljub S. 2 Vujanovic, Bozidar D. 1 Benenti, Sergio 1 Braun, David J. 1 Budinčević, Mirko 1 Capodanno, Pierre 1 Cvetković, T. 1 Đorđević, Vladan D. 1 Dragović, Vladimir 1 Francaviglia, Mauro 1 Hadžić, Olga 1 Henneaux, Marc 1 Huo, Yongzhong 1 Ivić, Aleksandar 1 Jakovljevic, Boris B. 1 Kalnins, Ernest G. 1 Kharlamov, Mikhail Pavlovich 1 Kiryakova, Virginia S. 1 Kostić, Vladimir R. 1 Lacomba, Ernesto A. 1 Leach, P. G. L. 1 Lewis, H. Ralph 1 Lichnerowicz, Andre 1 Losco, Lucette 1 Machado, José António Tenreiro 1 Magri, Franco 1 Mainardi, Francesco 1 Maretic, Ratko B. 1 Mei, Fengxiang 1 Milidragovic, J. M. 1 Milisavljevic, Branko M. 1 Miller, Willard jun. 1 Milovanović, Gradimir V. 1 Morosi, Carlo 1 Nedeljkov, Marko 1 Novikov, Sergeĭ Petrovich 1 Obradović, Radovan 1 Oparnica, Lj 1 Petkovic, Milena R. 1 Pignedoli, Antonio 1 Pironneau, Y. 1 Popović, Jovan K. 1 Prince, Geoff E. 1 Rajter-Ćiri, Danijela 1 Roubanovsky, V. N. 1 Rumyantsev, Valentin Vital’evich 1 Salvadori, Luigi 1 Sarlet, Willy 1 Schiehlen, Werner O. 1 Schräpel, H. D. 1 Sedov, Leonid Ivanovich 1 Seleši, Dora 1 Šumarac, Dragoslav 1 Sumbatov, A. S. 1 Sutela, Tytti 1 Wittenburg, Jens Peter all top 5 Serials 20 Acta Mechanica 11 Fractional Calculus & Applied Analysis 9 Continuum Mechanics and Thermodynamics 8 International Journal of Non-Linear Mechanics 8 Journal of Mathematical Analysis and Applications 8 Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques 7 Meccanica 7 Archive of Applied Mechanics 7 Theoretical and Applied Mechanics 5 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 5 European Journal of Mechanics. A. Solids 4 Journal of Applied Mechanics 4 Quarterly Journal of Mechanics and Applied Mathematics 4 Teorijska i Primenjena Mehanika 4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 4 Structural and Multidisciplinary Optimization 3 Journal of Physics A: Mathematical and Theoretical 3 International Journal of Structural Stability and Dynamics 2 IMA Journal of Applied Mathematics 2 Ingenieur-Archiv 2 International Journal of Engineering Science 2 International Journal of Heat and Mass Transfer 2 International Journal of Solids and Structures 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Applied Mathematics and Computation 2 Journal of Computational and Applied Mathematics 2 Journal of Optimization Theory and Applications 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Dynamics and Stability of Systems 2 Journal of Physics A: Mathematical and General 2 Integral Transforms and Special Functions 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Mechanical Engineering and Solid Mechanics Series 1 Journal of the Institute of Mathematics and its Applications 1 Journal of Mathematical Physics 1 Journal of Sound and Vibration 1 Mechanics Research Communications 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 European Journal of Mechanics. A. Solids 1 European Journal of Applied Mathematics 1 Applied Mathematical Modelling 1 Mathematics and Mechanics of Solids 1 Abstract and Applied Analysis 1 Communications in Nonlinear Science and Numerical Simulation 1 Comptes Rendus. Mécanique. Académie des Sciences, Paris 1 Iranian Journal of Science and Technology. Transaction B: Engineering 1 Zbornik Radova (Beograd) 1 Series on Stability, Vibration and Control of Systems. Series A 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 International Journal of Dynamical Systems and Differential Equations 1 Proceedings A. Royal Society of London 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 119 Mechanics of deformable solids (74-XX) 46 Real functions (26-XX) 28 Ordinary differential equations (34-XX) 27 Calculus of variations and optimal control; optimization (49-XX) 21 Partial differential equations (35-XX) 18 Mechanics of particles and systems (70-XX) 9 Numerical analysis (65-XX) 9 Fluid mechanics (76-XX) 7 Functional analysis (46-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Classical thermodynamics, heat transfer (80-XX) 5 History and biography (01-XX) 5 Integral equations (45-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 General and overarching topics; collections (00-XX) 2 Integral transforms, operational calculus (44-XX) 2 Probability theory and stochastic processes (60-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 121 Publications have been cited 1,236 times in 767 Documents Cited by ▼ Year ▼ Fractional calculus with applications in mechanics. Vibrations and diffusion processes. Zbl 1291.74001Atanacković, Teodor M.; Pilipović, Steven; Stanković, Bogoljub; Zorica, Dušan 88 2014 Variational problems with fractional derivatives: Euler-Lagrange equations. Zbl 1175.49020Atanacković, T. M.; Konjik, S.; Pilipović, S. 67 2008 Variational problems with fractional derivatives: invariance conditions and Nöther’s theorem. Zbl 1163.49022Atanacković, Teodor M.; Konjik, Sanja; Pilipović, Stevan; Simić, Srboljub 51 2009 Similarity solutions to nonlinear heat conduction and Burgers/Korteweg-deVries fractional equations. Zbl 1157.35470Djordjevic, Vladan D.; Atanackovic, Teodor M. 46 2008 Fractional calculus with applications in mechanics. Wave propagation, impact and variational principles. Zbl 1293.74001Atanacković, Teodor M.; Pilipović, Stevan; Stanković, Bogoljub; Zorica, Dušan 42 2014 On a numerical scheme for solving differential equations of fractional order. Zbl 1258.65103Atanackovic, T. M.; Stankovic, B. 42 2008 Time distributed-order diffusion-wave equation. II. Applications of Laplace and Fourier transformations. Zbl 1186.35107Atanackovic, Teodor M.; Pilipovic, Stevan; Zorica, Dusan 41 2009 On a fractional distributed-order oscillator. Zbl 1074.74030Atanackovic, T. M.; Budincevic, M.; Pilipovic, S. 37 2005 Time distributed-order diffusion-wave equation. I. Volterra-type equation. Zbl 1186.35106Atanackovic, Teodor M.; Pilipovic, Stevan; Zorica, Dusan 37 2009 A generalized model for the uniaxial isothermal deformation of a viscoelastic body. Zbl 1089.74015Atanackovic, T. M. 34 2002 On a system of differential equations with fractional derivatives arising in rod theory. Zbl 1059.35011Atanackovic, Teodor M.; Stankovic, Bogoljub 34 2004 A diffusion wave equation with two fractional derivatives of different order. Zbl 1121.35069Atanackovic, T. M.; Pilipovic, S.; Zorica, D. 34 2007 Distributed-order fractional wave equation on a finite domain. Stress relaxation in a rod. Zbl 1231.74144Atanackovic, T. M.; Pilipovic, S.; Zorica, D. 33 2011 Generalized wave equation in nonlocal elasticity. Zbl 1397.74100Atanackovic, T. M.; Stankovic, B. 32 2009 On a class of differential equations with left and right fractional derivatives. Zbl 1131.34003Atanackovic, T. M.; Stankovic, B. 29 2007 A modified Zener model of a viscoelastic body. Zbl 1032.74015Atanackovic, Teodor M. 28 2002 Stability theory of elastic rods. Zbl 0928.74002Atanackovic, T. M. 27 1997 On a distributed derivative model of a viscoelastic body. Zbl 1177.74093Atanackovic, Teodor M. 23 2003 Hamilton’s principle with variable order fractional derivatives. Zbl 1273.70031Atanackovic, Teodor M.; Pilipovic, Stevan 23 2011 An expansion formula for fractional derivatives and its application. Zbl 1128.26003Atanackovic, T. M.; Stankovic, B. 22 2004 Fully fractional anisotropic diffusion for image denoising. Zbl 1225.94003Janev, Marko; Pilipović, Stevan; Atanacković, Teodor; Obradović, Radovan; Ralević, Nebojša 21 2011 Properties of the Caputo-Fabrizio fractional derivative and its distributional settings. Zbl 1392.26010Atanacković, Teodor M.; Pilipović, Stevan; Zorica, Dušan 21 2018 On a nonlinear distributed order fractional differential equation. Zbl 1115.34005Atanacković, Teodor M.; Oparnica, Ljubica; Pilipović, Stevan 20 2007 Distributed-order fractional wave equation on a finite domain: creep and forced oscillations of a rod. Zbl 1272.74324Atanackovic, Teodor M.; Pilipovic, Stevan; Zorica, Dusan 16 2011 On a differential equation with left and right fractional derivatives. Zbl 1136.26301Atanackovic, Teodor M.; Stankovich, Bogoljub 16 2007 Thermodynamical restrictions and wave propagation for a class of fractional order viscoelastic rods. Zbl 1217.74064Atanacković, Teodor M.; Konjik, Sanja; Oparnica, Ljubica; Zorica, Dušan 15 2011 An introduction to modern variational techniques in mechanics and engineering. Zbl 1081.70002Vujanovic, B. D.; Atanackovic, T. M. 13 2004 Dynamics of a viscoelastic rod of fractional derivative type. Zbl 1008.74051Atanackovic, T. M.; Stankovic, B. 12 2002 Fractional calculus: D’où venons-nous? Que sommes-nous? Où allons-nous? (Contributions to Round Table Discussion held at ICFDA 2016). Zbl 1351.26017Tenreiro Machado, José António; Mainardi, Francesco; Kiryakova, Virginia; Atanacković, Teodor 11 2016 Optimal shape of an elastic column on elastic foundation. Zbl 1083.74040Atanackovic, T. M.; Novakovic, B. N. 11 2006 Expansion formula for fractional derivatives in variational problems. Zbl 1309.26006Atanacković, Teodor M.; Janev, Marko; Konjik, Sanja; Pilipović, Stevan; Zorica, Dušan 10 2014 On the optimal shape of a Pflüger column. Zbl 0978.74057Atanackovic, Teodor M.; Simic, Srboljub S. 10 1999 Distributional framework for solving fractional differential equations. Zbl 1170.26003Atanackovic, Teodor M.; Oparnica, Ljubica; Pilipović, Stevan 9 2009 Cauchy problems for some classes of linear fractional differential equations. Zbl 1312.34006Atanackovic, Teodor; Dolicanin, Diana; Pilipovic, Stevan; Stankovic, Bogoljub 9 2014 The Cattaneo type space-time fractional heat conduction equation. Zbl 1267.80006Atanacković, Teodor; Konjik, Sanja; Oparnica, Ljubica; Zorica, Dušan 9 2012 Semilinear ordinary differential equation coupled with distributed order fractional differential equation. Zbl 1194.26006Atanackovic, Teodor M.; Oparnica, Ljubica; Pilipović, Stevan 9 2010 Stability and creep of a fractional derivate order viscoelastic rod. Zbl 1002.74036Bačlić, B. S.; Atanacković, T. M. 8 2000 Vibrations of an elastic rod on a viscoelastic foundation of complex fractional Kelvin-Voigt type. Zbl 1325.74080Atanackovic, Teodor M.; Janev, Marko; Konjik, Sanja; Pilipovic, Stevan; Zorica, Dusan 8 2015 Optimal shape of a twisted and compressed rod. Zbl 0998.74058Glavardanov, Valentin B.; Atanackovic, Teodor M. 8 2001 On a class of equations arising in linear viscoelasticity theory. Zbl 1076.74014Atanackovic, T.; Pilipovic, S. 7 2005 On viscoelastic compliant contact-impact models. Zbl 1111.74312Atanackovic, T. M.; Spasic, D. T. 7 2004 Nano- and viscoelastic Beck’s column on elastic foundation. Zbl 1325.74079Atanackovic, Teodor M.; Bouras, Yanni; Zorica, Dusan 6 2015 Optimal shape of column with own weight: Bi and single modal optimization. Zbl 1158.74441Atanackovic, Teodor M. 6 2006 Generalized Hamilton’s principle with fractional derivatives. Zbl 1379.70052Atanacković, T. M.; Konjik, S.; Oparnica, Lj; Pilipović, S. 6 2010 Error bounds via a new extremum variational principle, mean square residual and weighted mean square residual. Zbl 0429.65083Djukic, Dj. S.; Atanackovic, T. M. 6 1980 Stability of rotating compressed rod with imperfections. Zbl 0629.73035Atanacković, T. M. 5 1987 Wave equation for generalized Zener model containing complex order fractional derivatives. Zbl 1365.74043Atanacković, Teodor M.; Janev, Marko; Konjik, Sanja; Pilipović, Stevan 5 2017 Space-time fractional Zener wave equation. Zbl 1371.35319Atanackovic, T. M.; Janev, M.; Oparnica, Lj.; Pilipovic, S.; Zorica, D. 5 2015 Estimates of maximum deflection for a rotating rod. Zbl 0541.73061Atanacković, Teodor M. 5 1984 On an inequality arising in fractional oscillator theory. Zbl 1072.26008Stankovic, Bogoljub; Atanackovic, Teodor M. 5 2004 Application of Pontryagin’s principle to bimodal optimization problems. Zbl 1273.74372Atanackovic, Teodor M.; Seyranian, Alexander P. 5 2008 Optimal shape of an elastic rod in flexural-torsional buckling. Zbl 1116.74050Atanackovic, T. M. 5 2007 Linear fractional differential equation with variable coefficients. I. Zbl 1313.26011Atanacković, T. M.; Stanković, B. 5 2013 Shape optimization against buckling of micro- and nano-rods. Zbl 1293.74342Atanackovic, Teodor M.; Novakovic, Branislava N.; Vrcelj, Zora 5 2012 A model for plane elastica with simple shear deformation pattern. Zbl 0810.73021Atanackovic, T. M.; Spasic, D. T. 4 1994 Buckling of a twisted and compressed rod. Zbl 1040.74019Atanackovic, Teodor M.; Glavardanov, Valentin B. 4 2002 Dynamics of a fractional derivative type of a viscoelastic rod with random excitation. Zbl 1428.74100Atanacković, Teodor; Nedeljkov, Marko; Pilipović, Stevan; Rajter-Ćiri, Danijela 4 2015 Application of Pontryagin’s principle to bimodal optimization of nano rods. Zbl 1359.74189Atanackovic, Teodor M.; Novakovic, Branislava N.; Vrcelj, Zora 4 2012 Linear fractional differential equation with variable coefficients. II. Zbl 06704558Atanacković, T. M.; Stanković, B. 4 2014 A model for memory alloys in plane strain. Zbl 0576.73033Achenbach, M.; Atanackovic, T.; Müller, I. 4 1986 Euler-Lagrange equations for Lagrangians containing complex-order fractional derivatives. Zbl 1378.49015Atanacković, Teodor M.; Janev, Marko; Pilipović, Stevan; Zorica, Dušan 4 2017 On the optimal shape of a compressed rotating rod. Zbl 1050.74035Atanackovic, Teodor M. 4 2004 Bimodal optimization of a compressed rotating rod. Zbl 1066.74044Spasic, D. T.; Atanackovic, T. M. 4 2004 Optimal shape of a strongest inverted column. Zbl 1113.49021Atanackovic, Teodor M. 4 2007 On a model of viscoelastic rod in unilateral contact with a rigid wall. Zbl 1114.74027Atanackovic, Teodor M.; Oparnica, Ljubica; Pilipovic, Stevan 4 2006 Forced oscillations of a body attached to a viscoelastic rod of fractional derivative type. Zbl 1423.74173Atanackovic, Teodor M.; Pilipovic, Stevan; Zorica, Dusan 4 2013 Dissipativity and stability for a nonlinear differential equation with distributed order symmetrized fractional derivative. Zbl 1223.34006Atanacković, Teodor M.; Dolićanin, Diana; Konjik, Sanja; Pilipović, Stevan 3 2011 Rotating nanorod with clamped ends. Zbl 1359.74190Atanackovic, Teodor M.; Novakovic, Branislava N.; Vrcelj, Zora; Zorica, Dusan 3 2015 Buckling of rotating compressed rods. Zbl 0585.73081Atanacković, T. M. 3 1986 Stability of a compressible elastic rod with imperfections. Zbl 0668.73043Atanacković, T. M. 3 1989 Two compartmental fractional derivative model with fractional derivatives of different order. Zbl 1304.34012Popović, Jovan K.; Pilipović, Stevan; Atanacković, Teodor M. 3 2013 A note on the classical brachistochrone. Zbl 0346.49016Djukic, Dj. S.; Atanackovic, T. M. 3 1976 Twisted axially loaded rod with shear and compressibility. Zbl 0877.73026Atanackovic, T. M.; Glavardanov, V. B. 3 1996 On the rotating rod with variable cross-section. Zbl 0895.73036Atanackovic, T. M. 3 1997 The strongest rotating rod. Zbl 1349.74217Atanackovic, T. M.; Braun, D. J. 3 2005 Complementary variational principles with fractional derivatives. Zbl 1308.70033Atanackovic, Teodor M.; Janev, Marko; Pilipovic, Stevan; Zorica, Dusan 3 2012 Buckling by extension: Stability boundary and post-critical behaviour. Zbl 0692.73045Atanackovic, T. M.; Djukic, Dj. S. 3 1989 On a model of a viscoelastic rod. Zbl 1169.74465Stankovic, Bogoljub; Atanackovic, Teodor M. 3 2001 Wave equation in fractional Zener-type viscoelastic media involving Caputo-Fabrizio fractional derivatives. Zbl 1458.74073Atanacković, Teodor M.; Janev, Marko; Pilipović, Stevan 3 2019 A non-linear thermo-viscoelastic rheological model based on fractional derivatives for high temperature creep in concrete. Zbl 1480.74041Bouras, Yanni; Zorica, Dušan; Atanacković, Teodor M.; Vrcelj, Zora 3 2018 Effect of shear and compressibility on stability of a heavy column with an end load. Zbl 0752.73032Atanackovic, T. M.; Spasic, D. T. 2 1991 Stability of an extensible rotating rod. Zbl 0762.73033Atanacković, T.; Achenbach, M. 2 1989 Effect of shear on stability and nonlinear behavior of a rotating rod. Zbl 0762.73034Atanacković, T. M.; Djukic, Dj. S.; Jones, S. E. 2 1991 A new form of the coherency energy in pseudoelasticity. Zbl 0841.73004Atanackovic, T.; Müller, I. 2 1995 Dynamics of a rod made of generalized Kelvin-Voigt viscoelastic material. Zbl 1067.74037Stankovic, B.; Atanackovic, T. M. 2 2002 The influence of shear and extensibility on the stability of a heavy rotating rod. Zbl 0777.73023Atanackovic, Teodor; Djukic, Djordje 2 1992 Convergence analysis of a numerical scheme for two classes of non-linear fractional differential equations. Zbl 1337.65101Atanackovic, Teodor M.; Janev, Marko; Pilipovic, Stevan; Zorica, Dusan 2 2014 On the impact of elastic bodies with adhesive forces. Zbl 0963.74042Atanackovic, Teodor M.; Spasic, Dragan T. 2 1999 Fluid conveying pipe with shear and compressibility. Zbl 0921.73217Guran, A.; Atanackovic, T. M. 2 1998 Buckling of a compressible elastic ring. Zbl 0897.73025Atanackovic, T. M. 2 1998 On a viscoelastic rod with constitutive equation containing fractional derivatives of two different orders. Zbl 1066.74037Stankovic, B.; Atanackovic, T. M. 2 2004 On the optimal shape of a compressed column subjected to restrictions on the cross-sectional area. Zbl 1274.74239Novakovic, Branislava N.; Atanackovic, Teodor M. 2 2011 On the optimal shape of a rotating rod. Zbl 1110.74319Atanackovic, T. M. 2 2001 On a constitutive equation of heat conduction with fractional derivatives of complex order. Zbl 1384.74004Atanackovic, Teodor M.; Pilipovic, Stevan 2 2018 An initial value problem arising in mechanics. Zbl 1356.74084Atanackovic, Teodor M.; Pilipovic, Stevan; Zorica, Dusan 2 2014 Some estimates for a buckling problem. Zbl 0464.73048Atanackovic, T. M.; Milisavljevic, B. M. 2 1981 Wave propagation dynamics in a fractional Zener model with stochastic excitation. Zbl 07329877Atanacković, Teodor; Pilipović, Stevan; Seleši, Dora 1 2020 Dynamics of plane motion of an elastic rod. Zbl 0879.73026Atanackovic, T. M.; Cveticanin, L. J. 1 1996 A generalized variational formulation. Zbl 0306.35002Atanackovic, T. M.; Jones, S. E. 1 1974 On the thermodynamical restrictions in isothermal deformations of fractional Burgers model. Zbl 1462.74029Atanacković, Teodor M.; Janev, Marko; Pilipović, Stevan 1 2020 Wave propagation dynamics in a fractional Zener model with stochastic excitation. Zbl 07329877Atanacković, Teodor; Pilipović, Stevan; Seleši, Dora 1 2020 On the thermodynamical restrictions in isothermal deformations of fractional Burgers model. Zbl 1462.74029Atanacković, Teodor M.; Janev, Marko; Pilipović, Stevan 1 2020 Wave equation in fractional Zener-type viscoelastic media involving Caputo-Fabrizio fractional derivatives. Zbl 1458.74073Atanacković, Teodor M.; Janev, Marko; Pilipović, Stevan 3 2019 Variational problems of Herglotz type with complex order fractional derivatives and less regular Lagrangian. Zbl 1431.26006Atanacković, Teodor M.; Konjik, Sanja; Pilipović, Stevan 1 2019 Properties of the Caputo-Fabrizio fractional derivative and its distributional settings. Zbl 1392.26010Atanacković, Teodor M.; Pilipović, Stevan; Zorica, Dušan 21 2018 A non-linear thermo-viscoelastic rheological model based on fractional derivatives for high temperature creep in concrete. Zbl 1480.74041Bouras, Yanni; Zorica, Dušan; Atanacković, Teodor M.; Vrcelj, Zora 3 2018 On a constitutive equation of heat conduction with fractional derivatives of complex order. Zbl 1384.74004Atanackovic, Teodor M.; Pilipovic, Stevan 2 2018 Complex fractional Zener model of wave propagation in \(\mathbb{R}\). Zbl 1439.35518Atanacković, Teodor M.; Janev, Marko; Konjik, Sanja; Pilipović, Stevan 1 2018 Non-linear boundary value problems involving Caputo derivatives of complex fractional order. Zbl 1427.34005Atanacković, Teodor M.; Janev, Marko; Pilipović, Stevan 1 2018 Wave equation for generalized Zener model containing complex order fractional derivatives. Zbl 1365.74043Atanacković, Teodor M.; Janev, Marko; Konjik, Sanja; Pilipović, Stevan 5 2017 Euler-Lagrange equations for Lagrangians containing complex-order fractional derivatives. Zbl 1378.49015Atanacković, Teodor M.; Janev, Marko; Pilipović, Stevan; Zorica, Dušan 4 2017 Fractional calculus: D’où venons-nous? Que sommes-nous? Où allons-nous? (Contributions to Round Table Discussion held at ICFDA 2016). Zbl 1351.26017Tenreiro Machado, José António; Mainardi, Francesco; Kiryakova, Virginia; Atanacković, Teodor 11 2016 Vibrations of an elastic rod on a viscoelastic foundation of complex fractional Kelvin-Voigt type. Zbl 1325.74080Atanackovic, Teodor M.; Janev, Marko; Konjik, Sanja; Pilipovic, Stevan; Zorica, Dusan 8 2015 Nano- and viscoelastic Beck’s column on elastic foundation. Zbl 1325.74079Atanackovic, Teodor M.; Bouras, Yanni; Zorica, Dusan 6 2015 Space-time fractional Zener wave equation. Zbl 1371.35319Atanackovic, T. M.; Janev, M.; Oparnica, Lj.; Pilipovic, S.; Zorica, D. 5 2015 Dynamics of a fractional derivative type of a viscoelastic rod with random excitation. Zbl 1428.74100Atanacković, Teodor; Nedeljkov, Marko; Pilipović, Stevan; Rajter-Ćiri, Danijela 4 2015 Rotating nanorod with clamped ends. Zbl 1359.74190Atanackovic, Teodor M.; Novakovic, Branislava N.; Vrcelj, Zora; Zorica, Dusan 3 2015 Fractional calculus with applications in mechanics. Vibrations and diffusion processes. Zbl 1291.74001Atanacković, Teodor M.; Pilipović, Steven; Stanković, Bogoljub; Zorica, Dušan 88 2014 Fractional calculus with applications in mechanics. Wave propagation, impact and variational principles. Zbl 1293.74001Atanacković, Teodor M.; Pilipović, Stevan; Stanković, Bogoljub; Zorica, Dušan 42 2014 Expansion formula for fractional derivatives in variational problems. Zbl 1309.26006Atanacković, Teodor M.; Janev, Marko; Konjik, Sanja; Pilipović, Stevan; Zorica, Dušan 10 2014 Cauchy problems for some classes of linear fractional differential equations. Zbl 1312.34006Atanackovic, Teodor; Dolicanin, Diana; Pilipovic, Stevan; Stankovic, Bogoljub 9 2014 Linear fractional differential equation with variable coefficients. II. Zbl 06704558Atanacković, T. M.; Stanković, B. 4 2014 Convergence analysis of a numerical scheme for two classes of non-linear fractional differential equations. Zbl 1337.65101Atanackovic, Teodor M.; Janev, Marko; Pilipovic, Stevan; Zorica, Dusan 2 2014 An initial value problem arising in mechanics. Zbl 1356.74084Atanackovic, Teodor M.; Pilipovic, Stevan; Zorica, Dusan 2 2014 Linear fractional differential equation with variable coefficients. I. Zbl 1313.26011Atanacković, T. M.; Stanković, B. 5 2013 Forced oscillations of a body attached to a viscoelastic rod of fractional derivative type. Zbl 1423.74173Atanackovic, Teodor M.; Pilipovic, Stevan; Zorica, Dusan 4 2013 Two compartmental fractional derivative model with fractional derivatives of different order. Zbl 1304.34012Popović, Jovan K.; Pilipović, Stevan; Atanacković, Teodor M. 3 2013 The Cattaneo type space-time fractional heat conduction equation. Zbl 1267.80006Atanacković, Teodor; Konjik, Sanja; Oparnica, Ljubica; Zorica, Dušan 9 2012 Shape optimization against buckling of micro- and nano-rods. Zbl 1293.74342Atanackovic, Teodor M.; Novakovic, Branislava N.; Vrcelj, Zora 5 2012 Application of Pontryagin’s principle to bimodal optimization of nano rods. Zbl 1359.74189Atanackovic, Teodor M.; Novakovic, Branislava N.; Vrcelj, Zora 4 2012 Complementary variational principles with fractional derivatives. Zbl 1308.70033Atanackovic, Teodor M.; Janev, Marko; Pilipovic, Stevan; Zorica, Dusan 3 2012 A theory of linear differential equations with fractional derivatives. Zbl 1289.34007Atanacković, T. M.; Pilipović, S.; Stanković, B. 1 2012 Distributed-order fractional wave equation on a finite domain. Stress relaxation in a rod. Zbl 1231.74144Atanackovic, T. M.; Pilipovic, S.; Zorica, D. 33 2011 Hamilton’s principle with variable order fractional derivatives. Zbl 1273.70031Atanackovic, Teodor M.; Pilipovic, Stevan 23 2011 Fully fractional anisotropic diffusion for image denoising. Zbl 1225.94003Janev, Marko; Pilipović, Stevan; Atanacković, Teodor; Obradović, Radovan; Ralević, Nebojša 21 2011 Distributed-order fractional wave equation on a finite domain: creep and forced oscillations of a rod. Zbl 1272.74324Atanackovic, Teodor M.; Pilipovic, Stevan; Zorica, Dusan 16 2011 Thermodynamical restrictions and wave propagation for a class of fractional order viscoelastic rods. Zbl 1217.74064Atanacković, Teodor M.; Konjik, Sanja; Oparnica, Ljubica; Zorica, Dušan 15 2011 Dissipativity and stability for a nonlinear differential equation with distributed order symmetrized fractional derivative. Zbl 1223.34006Atanacković, Teodor M.; Dolićanin, Diana; Konjik, Sanja; Pilipović, Stevan 3 2011 On the optimal shape of a compressed column subjected to restrictions on the cross-sectional area. Zbl 1274.74239Novakovic, Branislava N.; Atanackovic, Teodor M. 2 2011 Semilinear ordinary differential equation coupled with distributed order fractional differential equation. Zbl 1194.26006Atanackovic, Teodor M.; Oparnica, Ljubica; Pilipović, Stevan 9 2010 Generalized Hamilton’s principle with fractional derivatives. Zbl 1379.70052Atanacković, T. M.; Konjik, S.; Oparnica, Lj; Pilipović, S. 6 2010 Variational problems with fractional derivatives: invariance conditions and Nöther’s theorem. Zbl 1163.49022Atanacković, Teodor M.; Konjik, Sanja; Pilipović, Stevan; Simić, Srboljub 51 2009 Time distributed-order diffusion-wave equation. II. Applications of Laplace and Fourier transformations. Zbl 1186.35107Atanackovic, Teodor M.; Pilipovic, Stevan; Zorica, Dusan 41 2009 Time distributed-order diffusion-wave equation. I. Volterra-type equation. Zbl 1186.35106Atanackovic, Teodor M.; Pilipovic, Stevan; Zorica, Dusan 37 2009 Generalized wave equation in nonlocal elasticity. Zbl 1397.74100Atanackovic, T. M.; Stankovic, B. 32 2009 Distributional framework for solving fractional differential equations. Zbl 1170.26003Atanackovic, Teodor M.; Oparnica, Ljubica; Pilipović, Stevan 9 2009 Optimal shape of a heavy elastic rod loaded with a tip-concentrated force against lateral buckling. Zbl 1271.74374Novakovic, Branislava N.; Atanackovic, Teodor M. 1 2009 Variational problems with fractional derivatives: Euler-Lagrange equations. Zbl 1175.49020Atanacković, T. M.; Konjik, S.; Pilipović, S. 67 2008 Similarity solutions to nonlinear heat conduction and Burgers/Korteweg-deVries fractional equations. Zbl 1157.35470Djordjevic, Vladan D.; Atanackovic, Teodor M. 46 2008 On a numerical scheme for solving differential equations of fractional order. Zbl 1258.65103Atanackovic, T. M.; Stankovic, B. 42 2008 Application of Pontryagin’s principle to bimodal optimization problems. Zbl 1273.74372Atanackovic, Teodor M.; Seyranian, Alexander P. 5 2008 A diffusion wave equation with two fractional derivatives of different order. Zbl 1121.35069Atanackovic, T. M.; Pilipovic, S.; Zorica, D. 34 2007 On a class of differential equations with left and right fractional derivatives. Zbl 1131.34003Atanackovic, T. M.; Stankovic, B. 29 2007 On a nonlinear distributed order fractional differential equation. Zbl 1115.34005Atanacković, Teodor M.; Oparnica, Ljubica; Pilipović, Stevan 20 2007 On a differential equation with left and right fractional derivatives. Zbl 1136.26301Atanackovic, Teodor M.; Stankovich, Bogoljub 16 2007 Optimal shape of an elastic rod in flexural-torsional buckling. Zbl 1116.74050Atanackovic, T. M. 5 2007 Optimal shape of a strongest inverted column. Zbl 1113.49021Atanackovic, Teodor M. 4 2007 Optimal shape of an elastic column on elastic foundation. Zbl 1083.74040Atanackovic, T. M.; Novakovic, B. N. 11 2006 Optimal shape of column with own weight: Bi and single modal optimization. Zbl 1158.74441Atanackovic, Teodor M. 6 2006 On a model of viscoelastic rod in unilateral contact with a rigid wall. Zbl 1114.74027Atanackovic, Teodor M.; Oparnica, Ljubica; Pilipovic, Stevan 4 2006 Generalized solutions to a linear discontinuous differential equation. Zbl 1154.34309Stanković, B.; Atanacković, T. M. 1 2006 On an optimization problem for elastic rods. Zbl 1245.74056Jelicic, Z. D.; Atanackovic, T. M. 1 2006 On a fractional distributed-order oscillator. Zbl 1074.74030Atanackovic, T. M.; Budincevic, M.; Pilipovic, S. 37 2005 On a class of equations arising in linear viscoelasticity theory. Zbl 1076.74014Atanackovic, T.; Pilipovic, S. 7 2005 The strongest rotating rod. Zbl 1349.74217Atanackovic, T. M.; Braun, D. J. 3 2005 On a system of differential equations with fractional derivatives arising in rod theory. Zbl 1059.35011Atanackovic, Teodor M.; Stankovic, Bogoljub 34 2004 An expansion formula for fractional derivatives and its application. Zbl 1128.26003Atanackovic, T. M.; Stankovic, B. 22 2004 An introduction to modern variational techniques in mechanics and engineering. Zbl 1081.70002Vujanovic, B. D.; Atanackovic, T. M. 13 2004 On viscoelastic compliant contact-impact models. Zbl 1111.74312Atanackovic, T. M.; Spasic, D. T. 7 2004 On an inequality arising in fractional oscillator theory. Zbl 1072.26008Stankovic, Bogoljub; Atanackovic, Teodor M. 5 2004 On the optimal shape of a compressed rotating rod. Zbl 1050.74035Atanackovic, Teodor M. 4 2004 Bimodal optimization of a compressed rotating rod. Zbl 1066.74044Spasic, D. T.; Atanackovic, T. M. 4 2004 On a viscoelastic rod with constitutive equation containing fractional derivatives of two different orders. Zbl 1066.74037Stankovic, B.; Atanackovic, T. M. 2 2004 Optimal shape of a heavy compressed column. Zbl 1243.74134Atanackovic, Teodor M.; Glavardanov, V. B. 1 2004 On a distributed derivative model of a viscoelastic body. Zbl 1177.74093Atanackovic, Teodor M. 23 2003 A generalized model for the uniaxial isothermal deformation of a viscoelastic body. Zbl 1089.74015Atanackovic, T. M. 34 2002 A modified Zener model of a viscoelastic body. Zbl 1032.74015Atanackovic, Teodor M. 28 2002 Dynamics of a viscoelastic rod of fractional derivative type. Zbl 1008.74051Atanackovic, T. M.; Stankovic, B. 12 2002 Buckling of a twisted and compressed rod. Zbl 1040.74019Atanackovic, Teodor M.; Glavardanov, Valentin B. 4 2002 Dynamics of a rod made of generalized Kelvin-Voigt viscoelastic material. Zbl 1067.74037Stankovic, B.; Atanackovic, T. M. 2 2002 Optimal shape of a twisted and compressed rod. Zbl 0998.74058Glavardanov, Valentin B.; Atanackovic, Teodor M. 8 2001 On a model of a viscoelastic rod. Zbl 1169.74465Stankovic, Bogoljub; Atanackovic, Teodor M. 3 2001 On the optimal shape of a rotating rod. Zbl 1110.74319Atanackovic, T. M. 2 2001 Stability and creep of a fractional derivate order viscoelastic rod. Zbl 1002.74036Bačlić, B. S.; Atanacković, T. M. 8 2000 On the optimal shape of a Pflüger column. Zbl 0978.74057Atanackovic, Teodor M.; Simic, Srboljub S. 10 1999 On the impact of elastic bodies with adhesive forces. Zbl 0963.74042Atanackovic, Teodor M.; Spasic, Dragan T. 2 1999 Fluid conveying pipe with shear and compressibility. Zbl 0921.73217Guran, A.; Atanackovic, T. M. 2 1998 Buckling of a compressible elastic ring. Zbl 0897.73025Atanackovic, T. M. 2 1998 Stability theory of elastic rods. Zbl 0928.74002Atanackovic, T. M. 27 1997 On the rotating rod with variable cross-section. Zbl 0895.73036Atanackovic, T. M. 3 1997 Twisted axially loaded rod with shear and compressibility. Zbl 0877.73026Atanackovic, T. M.; Glavardanov, V. B. 3 1996 Dynamics of plane motion of an elastic rod. Zbl 0879.73026Atanackovic, T. M.; Cveticanin, L. J. 1 1996 A new form of the coherency energy in pseudoelasticity. Zbl 0841.73004Atanackovic, T.; Müller, I. 2 1995 A model for plane elastica with simple shear deformation pattern. Zbl 0810.73021Atanackovic, T. M.; Spasic, D. T. 4 1994 The influence of shear and extensibility on the stability of a heavy rotating rod. Zbl 0777.73023Atanackovic, Teodor; Djukic, Djordje 2 1992 Instability by extension of an extensible elastic column. Zbl 0768.73027Atanacković, T. M.; Djukić, Dj. S.; Strauss, A. M. 1 1992 Effect of shear and compressibility on stability of a heavy column with an end load. Zbl 0752.73032Atanackovic, T. M.; Spasic, D. T. 2 1991 Effect of shear on stability and nonlinear behavior of a rotating rod. Zbl 0762.73034Atanacković, T. M.; Djukic, Dj. S.; Jones, S. E. 2 1991 Stability of a compressible elastic rod with imperfections. Zbl 0668.73043Atanacković, T. M. 3 1989 Buckling by extension: Stability boundary and post-critical behaviour. Zbl 0692.73045Atanackovic, T. M.; Djukic, Dj. S. 3 1989 ...and 21 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,027 Authors 76 Atanackovic, Teodor M. 30 Pilipović, Stevan 27 Zorica, Dusan 25 Almeida, Ricardo 25 Băleanu, Dumitru I. 22 Torres, Delfim Fernando Marado 20 Zhang, Yi 12 Liu, Fawang 12 Machado, José António Tenreiro 12 Oparnica, Ljubica 11 Đukić, Đorđe Slavka 11 Janev, Marko 11 Konjik, Sanja 10 Malinowska, Agnieszka Barbara 9 Dehghan Takht Fooladi, Mehdi 8 Glavardanov, Valentin B. 8 Zaky, Mahmoud A. 7 Abbaszadeh, Mostafa 7 Agrawal, Om Prakash 7 El-Nabulsi, Rami Ahmad 7 Turner, Ian William 6 Jafari, Hossein 6 Khosravian-Arab, Hassan 6 Kolokoltsov, Vassili N. 6 Novakovic, Branislava N. 6 Pooseh, Shakoor 6 Stanković, Bogoljub 6 Tarasov, Vasily E. 5 Abdeljawad, Thabet 5 Èneeva, Liana M. 5 Grahovac, Nenad M. 5 Karniadakis, George Em 5 Kiryakova, Virginia S. 5 Song, Chuanjing 5 Sun, Zhizhong 5 Wang, Gangwei 5 Zayernouri, Mohsen 4 Abdo, Mohammed Salem 4 Aghili, Arman 4 Avazzadeh, Zakieh 4 Bohaienko, Vsevolod O. 4 Cajić, Milan 4 Chen, Yangquan 4 Daftardar-Gejji, Varsha 4 de Oliveira, Edmundo Capelas 4 Duan, Junsheng 4 Eslahchi, Mohammad Reza 4 Gao, Guanghua 4 Jarad, Fahd 4 Karličić, Danilo Z. 4 Maretic, Ratko B. 4 Obradović, Aleksandar 4 Panchal, Satish Kushaba 4 Povstenko, Yuriy Z. 4 Rapaić, Milan R. 4 Razzaghi, Mohsen 4 Restrepo, Joel Esteban 4 Rodríguez-López, Rosana 4 Sahoo, Subhadarshan 4 Šalinić, Slaviša 4 Spasic, Dragan T. 4 Sumelka, Wojciech 4 Suragan, Durvudkhan 4 Vrcelj, Zora 4 Xu, Yufeng 3 Aboelenen, Tarek 3 Anh, Vo V. 3 Ansari, Alireza 3 Babouskos, Nick G. 3 Bahaa, Gaber Mohamed 3 Bakkyaraj, Thangarasu 3 Bazhlekova, Emilia G. 3 Béda, Péter B. 3 Bu, Weiping 3 Bui, Hai-Le 3 Cresson, Jacky 3 da Silva, José Luís 3 Farghaly, Ahmed A. M. 3 Feng, Libo 3 Ferreira, Rui A. C. 3 Gupta, Rajesh Kumar 3 Hassani, Hossein 3 Hedrih, Katica R. 3 Inc, Mustafa 3 Jeličić, Zoran D. 3 Katsikadelis, John T. 3 Kharazmi, Ehsan 3 Klimek, Małgorzata 3 Lazopoulos, Anastassios K. 3 Le, Minh-Quy 3 Maleknejad, Khosrow 3 Ordokhani, Yadollah 3 Patnaik, Sansit 3 Qi, Jiangang 3 Rahimkhani, Parisa 3 Saadatmandi, Abbas 3 Saberi, Elaheh 3 Sahadevan, Ramajayam 3 Semperlotti, Fabio 3 Shah, Kamal ...and 927 more Authors all top 5 Cited in 182 Serials 48 Fractional Calculus & Applied Analysis 38 Acta Mechanica 38 Applied Mathematics and Computation 35 Nonlinear Dynamics 24 Computers & Mathematics with Applications 24 Communications in Nonlinear Science and Numerical Simulation 21 Advances in Difference Equations 20 Applied Mathematical Modelling 17 Journal of Mathematical Analysis and Applications 17 Journal of Computational and Applied Mathematics 15 Chaos, Solitons and Fractals 15 Meccanica 15 Mathematical Problems in Engineering 14 European Journal of Mechanics. A. 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