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Atanackovic, Teodor M.

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Author ID: atanackovic.teodor-m Recent zbMATH articles by "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
Homepage: http://www.mi.sanu.ac.rs/cv/pubatanackovic.htm
External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp
Documents Indexed: 178 Publications since 1974, including 6 Books
Reviewing Activity: 230 Reviews
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Serials

19 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 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

Publications by Year

Citations contained in zbMATH Open

118 Publications have been cited 1,088 times in 663 Documents Cited by Year
Fractional calculus with applications in mechanics. Vibrations and diffusion processes. Zbl 1291.74001
Atanacković, Teodor M.; Pilipović, Steven; Stanković, Bogoljub; Zorica, Dušan
70
2014
Variational problems with fractional derivatives: Euler-Lagrange equations. Zbl 1175.49020
Atanacković, T. M.; Konjik, S.; Pilipović, S.
62
2008
Variational problems with fractional derivatives: invariance conditions and Nöther’s theorem. Zbl 1163.49022
Atanacković, Teodor M.; Konjik, Sanja; Pilipović, Stevan; Simić, Srboljub
46
2009
Similarity solutions to nonlinear heat conduction and Burgers/Korteweg-deVries fractional equations. Zbl 1157.35470
Djordjevic, Vladan D.; Atanackovic, Teodor M.
39
2008
Time distributed-order diffusion-wave equation. II. Applications of Laplace and Fourier transformations. Zbl 1186.35107
Atanackovic, Teodor M.; Pilipovic, Stevan; Zorica, Dusan
38
2009
On a numerical scheme for solving differential equations of fractional order. Zbl 1258.65103
Atanackovic, T. M.; Stankovic, B.
36
2008
Time distributed-order diffusion-wave equation. I. Volterra-type equation. Zbl 1186.35106
Atanackovic, Teodor M.; Pilipovic, Stevan; Zorica, Dusan
35
2009
Fractional calculus with applications in mechanics. Wave propagation, impact and variational principles. Zbl 1293.74001
Atanacković, Teodor M.; Pilipović, Stevan; Stanković, Bogoljub; Zorica, Dušan
34
2014
On a fractional distributed-order oscillator. Zbl 1074.74030
Atanackovic, T. M.; Budincevic, M.; Pilipovic, S.
32
2005
On a system of differential equations with fractional derivatives arising in rod theory. Zbl 1059.35011
Atanackovic, Teodor M.; Stankovic, Bogoljub
31
2004
Distributed-order fractional wave equation on a finite domain. Stress relaxation in a rod. Zbl 1231.74144
Atanackovic, T. M.; Pilipovic, S.; Zorica, D.
30
2011
A generalized model for the uniaxial isothermal deformation of a viscoelastic body. Zbl 1089.74015
Atanackovic, T. M.
30
2002
Generalized wave equation in nonlocal elasticity. Zbl 1397.74100
Atanackovic, T. M.; Stankovic, B.
29
2009
A diffusion wave equation with two fractional derivatives of different order. Zbl 1121.35069
Atanackovic, T. M.; Pilipovic, S.; Zorica, D.
29
2007
On a class of differential equations with left and right fractional derivatives. Zbl 1131.34003
Atanackovic, T. M.; Stankovic, B.
29
2007
Stability theory of elastic rods. Zbl 0928.74002
Atanackovic, T. M.
27
1997
A modified Zener model of a viscoelastic body. Zbl 1032.74015
Atanackovic, Teodor M.
26
2002
Hamilton’s principle with variable order fractional derivatives. Zbl 1273.70031
Atanackovic, Teodor M.; Pilipovic, Stevan
21
2011
Fully fractional anisotropic diffusion for image denoising. Zbl 1225.94003
Janev, Marko; Pilipović, Stevan; Atanacković, Teodor; Obradović, Radovan; Ralević, Nebojša
19
2011
On a distributed derivative model of a viscoelastic body. Zbl 1177.74093
Atanackovic, Teodor M.
18
2003
An expansion formula for fractional derivatives and its application. Zbl 1128.26003
Atanackovic, T. M.; Stankovic, B.
18
2004
On a nonlinear distributed order fractional differential equation. Zbl 1115.34005
Atanacković, Teodor M.; Oparnica, Ljubica; Pilipović, Stevan
17
2007
Distributed-order fractional wave equation on a finite domain: creep and forced oscillations of a rod. Zbl 1272.74324
Atanackovic, Teodor M.; Pilipovic, Stevan; Zorica, Dusan
15
2011
Properties of the Caputo-Fabrizio fractional derivative and its distributional settings. Zbl 1392.26010
Atanacković, Teodor M.; Pilipović, Stevan; Zorica, Dušan
14
2018
Thermodynamical restrictions and wave propagation for a class of fractional order viscoelastic rods. Zbl 1217.74064
Atanacković, Teodor M.; Konjik, Sanja; Oparnica, Ljubica; Zorica, Dušan
13
2011
An introduction to modern variational techniques in mechanics and engineering. Zbl 1081.70002
Vujanovic, B. D.; Atanackovic, T. M.
13
2004
Optimal shape of an elastic column on elastic foundation. Zbl 1083.74040
Atanackovic, T. M.; Novakovic, B. N.
11
2006
Dynamics of a viscoelastic rod of fractional derivative type. Zbl 1008.74051
Atanackovic, T. M.; Stankovic, B.
11
2002
On the optimal shape of a Pflüger column. Zbl 0978.74057
Atanackovic, Teodor M.; Simic, Srboljub S.
10
1999
Expansion formula for fractional derivatives in variational problems. Zbl 1309.26006
Atanacković, Teodor M.; Janev, Marko; Konjik, Sanja; Pilipović, Stevan; Zorica, Dušan
9
2014
Distributional framework for solving fractional differential equations. Zbl 1170.26003
Atanackovic, Teodor M.; Oparnica, Ljubica; Pilipović, Stevan
9
2009
On a differential equation with left and right fractional derivatives. Zbl 1136.26301
Atanackovic, Teodor M.; Stankovich, Bogoljub
9
2007
Optimal shape of a twisted and compressed rod. Zbl 0998.74058
Glavardanov, Valentin B.; Atanackovic, Teodor M.
8
2001
Stability and creep of a fractional derivate order viscoelastic rod. Zbl 1002.74036
Bačlić, B. S.; Atanacković, T. M.
8
2000
Fractional calculus: D’où venons-nous? Que sommes-nous? Où allons-nous? (Contributions to Round Table Discussion held at ICFDA 2016). Zbl 1351.26017
Tenreiro Machado, José António; Mainardi, Francesco; Kiryakova, Virginia; Atanacković, Teodor
8
2016
Cauchy problems for some classes of linear fractional differential equations. Zbl 1312.34006
Atanackovic, Teodor; Dolicanin, Diana; Pilipovic, Stevan; Stankovic, Bogoljub
7
2014
On a class of equations arising in linear viscoelasticity theory. Zbl 1076.74014
Atanackovic, T.; Pilipovic, S.
7
2005
Vibrations of an elastic rod on a viscoelastic foundation of complex fractional Kelvin-Voigt type. Zbl 1325.74080
Atanackovic, Teodor M.; Janev, Marko; Konjik, Sanja; Pilipovic, Stevan; Zorica, Dusan
7
2015
On viscoelastic compliant contact-impact models. Zbl 1111.74312
Atanackovic, T. M.; Spasic, D. T.
7
2004
Semilinear ordinary differential equation coupled with distributed order fractional differential equation. Zbl 1194.26006
Atanackovic, Teodor M.; Oparnica, Ljubica; Pilipović, Stevan
7
2010
Error bounds via a new extremum variational principle, mean square residual and weighted mean square residual. Zbl 0429.65083
Djukic, Dj. S.; Atanackovic, T. M.
6
1980
The Cattaneo type space-time fractional heat conduction equation. Zbl 1267.80006
Atanacković, Teodor; Konjik, Sanja; Oparnica, Ljubica; Zorica, Dušan
6
2012
Optimal shape of column with own weight: Bi and single modal optimization. Zbl 1158.74441
Atanackovic, Teodor M.
6
2006
Application of Pontryagin’s principle to bimodal optimization problems. Zbl 1273.74372
Atanackovic, Teodor M.; Seyranian, Alexander P.
5
2008
Generalized Hamilton’s principle with fractional derivatives. Zbl 1379.70052
Atanacković, T. M.; Konjik, S.; Oparnica, Lj; Pilipović, S.
5
2010
Shape optimization against buckling of micro- and nano-rods. Zbl 1293.74342
Atanackovic, Teodor M.; Novakovic, Branislava N.; Vrcelj, Zora
5
2012
Nano- and viscoelastic Beck’s column on elastic foundation. Zbl 1325.74079
Atanackovic, Teodor M.; Bouras, Yanni; Zorica, Dusan
5
2015
Stability of rotating compressed rod with imperfections. Zbl 0629.73035
Atanacković, T. M.
5
1987
Estimates of maximum deflection for a rotating rod. Zbl 0541.73061
Atanacković, Teodor M.
5
1984
Wave equation for generalized Zener model containing complex order fractional derivatives. Zbl 1365.74043
Atanacković, Teodor M.; Janev, Marko; Konjik, Sanja; Pilipović, Stevan
5
2017
Optimal shape of an elastic rod in flexural-torsional buckling. Zbl 1116.74050
Atanackovic, T. M.
5
2007
Buckling of a twisted and compressed rod. Zbl 1040.74019
Atanackovic, Teodor M.; Glavardanov, Valentin B.
4
2002
On the optimal shape of a compressed rotating rod. Zbl 1050.74035
Atanackovic, Teodor M.
4
2004
Bimodal optimization of a compressed rotating rod. Zbl 1066.74044
Spasic, D. T.; Atanackovic, T. M.
4
2004
A model for plane elastica with simple shear deformation pattern. Zbl 0810.73021
Atanackovic, T. M.; Spasic, D. T.
4
1994
On an inequality arising in fractional oscillator theory. Zbl 1072.26008
Stankovic, Bogoljub; Atanackovic, Teodor M.
4
2004
Dynamics of a fractional derivative type of a viscoelastic rod with random excitation. Zbl 1428.74100
Atanacković, Teodor; Nedeljkov, Marko; Pilipović, Stevan; Rajter-Ćiri, Danijela
4
2015
On a model of viscoelastic rod in unilateral contact with a rigid wall. Zbl 1114.74027
Atanackovic, Teodor M.; Oparnica, Ljubica; Pilipovic, Stevan
4
2006
Forced oscillations of a body attached to a viscoelastic rod of fractional derivative type. Zbl 1423.74173
Atanackovic, Teodor M.; Pilipovic, Stevan; Zorica, Dusan
4
2013
Optimal shape of a strongest inverted column. Zbl 1113.49021
Atanackovic, Teodor M.
4
2007
A model for memory alloys in plane strain. Zbl 0576.73033
Achenbach, M.; Atanackovic, T.; Müller, I.
4
1986
Application of Pontryagin’s principle to bimodal optimization of nano rods. Zbl 1359.74189
Atanackovic, Teodor M.; Novakovic, Branislava N.; Vrcelj, Zora
4
2012
A note on the classical brachistochrone. Zbl 0346.49016
Djukic, Dj. S.; Atanackovic, T. M.
3
1976
Dissipativity and stability for a nonlinear differential equation with distributed order symmetrized fractional derivative. Zbl 1223.34006
Atanacković, Teodor M.; Dolićanin, Diana; Konjik, Sanja; Pilipović, Stevan
3
2011
Twisted axially loaded rod with shear and compressibility. Zbl 0877.73026
Atanackovic, T. M.; Glavardanov, V. B.
3
1996
On the rotating rod with variable cross-section. Zbl 0895.73036
Atanackovic, T. M.
3
1997
On a model of a viscoelastic rod. Zbl 1169.74465
Stankovic, Bogoljub; Atanackovic, Teodor M.
3
2001
Two compartmental fractional derivative model with fractional derivatives of different order. Zbl 1304.34012
Popović, Jovan K.; Pilipović, Stevan; Atanacković, Teodor M.
3
2013
Euler-Lagrange equations for Lagrangians containing complex-order fractional derivatives. Zbl 1378.49015
Atanacković, Teodor M.; Janev, Marko; Pilipović, Stevan; Zorica, Dušan
3
2017
Complementary variational principles with fractional derivatives. Zbl 1308.70033
Atanackovic, Teodor M.; Janev, Marko; Pilipovic, Stevan; Zorica, Dusan
3
2012
The strongest rotating rod. Zbl 1349.74217
Atanackovic, T. M.; Braun, D. J.
3
2005
Stability of a compressible elastic rod with imperfections. Zbl 0668.73043
Atanacković, T. M.
3
1989
Buckling by extension: Stability boundary and post-critical behaviour. Zbl 0692.73045
Atanackovic, T. M.; Djukic, Dj. S.
3
1989
Buckling of rotating compressed rods. Zbl 0585.73081
Atanacković, T. M.
3
1986
Rotating nanorod with clamped ends. Zbl 1359.74190
Atanackovic, Teodor M.; Novakovic, Branislava N.; Vrcelj, Zora; Zorica, Dusan
3
2015
Some estimates for a buckling problem. Zbl 0464.73048
Atanackovic, T. M.; Milisavljevic, B. M.
2
1981
On the optimal shape of a compressed column subjected to restrictions on the cross-sectional area. Zbl 1274.74239
Novakovic, Branislava N.; Atanackovic, Teodor M.
2
2011
On the impact of elastic bodies with adhesive forces. Zbl 0963.74042
Atanackovic, Teodor M.; Spasic, Dragan T.
2
1999
Effect of shear and compressibility on stability of a heavy column with an end load. Zbl 0752.73032
Atanackovic, T. M.; Spasic, D. T.
2
1991
Stability of an extensible rotating rod. Zbl 0762.73033
Atanacković, T.; Achenbach, M.
2
1989
Effect of shear on stability and nonlinear behavior of a rotating rod. Zbl 0762.73034
Atanacković, T. M.; Djukic, Dj. S.; Jones, S. E.
2
1991
An initial value problem arising in mechanics. Zbl 1356.74084
Atanackovic, Teodor M.; Pilipovic, Stevan; Zorica, Dusan
2
2014
A new form of the coherency energy in pseudoelasticity. Zbl 0841.73004
Atanackovic, T.; Müller, I.
2
1995
Fluid conveying pipe with shear and compressibility. Zbl 0921.73217
Guran, A.; Atanackovic, T. M.
2
1998
On a viscoelastic rod with constitutive equation containing fractional derivatives of two different orders. Zbl 1066.74037
Stankovic, B.; Atanackovic, T. M.
2
2004
The influence of shear and extensibility on the stability of a heavy rotating rod. Zbl 0777.73023
Atanackovic, Teodor; Djukic, Djordje
2
1992
Dynamics of a rod made of generalized Kelvin-Voigt viscoelastic material. Zbl 1067.74037
Stankovic, B.; Atanackovic, T. M.
2
2002
Space-time fractional Zener wave equation. Zbl 1371.35319
Atanackovic, T. M.; Janev, M.; Oparnica, Lj.; Pilipovic, S.; Zorica, D.
2
2015
On a constitutive equation of heat conduction with fractional derivatives of complex order. Zbl 1384.74004
Atanackovic, Teodor M.; Pilipovic, Stevan
2
2018
On the optimal shape of a rotating rod. Zbl 1110.74319
Atanackovic, T. M.
2
2001
Variational principles for column buckling. Zbl 0464.73049
Atanackovic, T. M.
1
1981
An extremum variational principle for a class of boundary value problems. Zbl 0514.49009
Atanackovic, T. M.; Djukic, Dj. S.
1
1983
Slow viscous flows over a flat plate with mixed boundary conditions. Zbl 0362.76147
Atanackovic, T. M.
1
1977
A note on a variational principle for simple elastic materials. Zbl 0366.73040
Atanackovic, T. M.
1
1977
Optimal control of dynamically controllable motions: an example. Zbl 0378.73038
Atanackovic, T. M.
1
1978
On a statinarity principle for non-conservative dynamical systems. Zbl 0389.70026
Atanackovic, T. M.
1
1978
Optimal shape of a heavy elastic rod loaded with a tip-concentrated force against lateral buckling. Zbl 1271.74374
Novakovic, Branislava N.; Atanackovic, Teodor M.
1
2009
A new time invariant for heat conduction with finite wave speed. Zbl 0444.35073
Atanackovic, T.; Baclic, B.
1
1980
A generalized variational formulation. Zbl 0306.35002
Atanackovic, T. M.; Jones, S. E.
1
1974
Moment-curvature relations for a pseudoelastic beam. Zbl 0762.73038
Atanacković, T.; Achenbach, M.
1
1989
Wave equation in fractional Zener-type viscoelastic media involving Caputo-Fabrizio fractional derivatives. Zbl 1458.74073
Atanacković, Teodor M.; Janev, Marko; Pilipović, Stevan
1
2019
Complex fractional Zener model of wave propagation in \(\mathbb{R}\). Zbl 1439.35518
Atanacković, Teodor M.; Janev, Marko; Konjik, Sanja; Pilipović, Stevan
1
2019
Properties of the Caputo-Fabrizio fractional derivative and its distributional settings. Zbl 1392.26010
Atanacković, Teodor M.; Pilipović, Stevan; Zorica, Dušan
14
2018
On a constitutive equation of heat conduction with fractional derivatives of complex order. Zbl 1384.74004
Atanackovic, Teodor M.; Pilipovic, Stevan
2
2018
A non-linear thermo-viscoelastic rheological model based on fractional derivatives for high temperature creep in concrete. Zbl 07166656
Bouras, Yanni; Zorica, Dušan; Atanacković, Teodor M.; Vrcelj, Zora
1
2018
Non-linear boundary value problems involving Caputo derivatives of complex fractional order. Zbl 1427.34005
Atanacković, Teodor M.; Janev, Marko; Pilipović, Stevan
1
2018
Wave equation for generalized Zener model containing complex order fractional derivatives. Zbl 1365.74043
Atanacković, Teodor M.; Janev, Marko; Konjik, Sanja; Pilipović, Stevan
5
2017
Euler-Lagrange equations for Lagrangians containing complex-order fractional derivatives. Zbl 1378.49015
Atanacković, Teodor M.; Janev, Marko; Pilipović, Stevan; Zorica, Dušan
3
2017
Fractional calculus: D’où venons-nous? Que sommes-nous? Où allons-nous? (Contributions to Round Table Discussion held at ICFDA 2016). Zbl 1351.26017
Tenreiro Machado, José António; Mainardi, Francesco; Kiryakova, Virginia; Atanacković, Teodor
8
2016
Vibrations of an elastic rod on a viscoelastic foundation of complex fractional Kelvin-Voigt type. Zbl 1325.74080
Atanackovic, Teodor M.; Janev, Marko; Konjik, Sanja; Pilipovic, Stevan; Zorica, Dusan
7
2015
Nano- and viscoelastic Beck’s column on elastic foundation. Zbl 1325.74079
Atanackovic, Teodor M.; Bouras, Yanni; Zorica, Dusan
5
2015
Dynamics of a fractional derivative type of a viscoelastic rod with random excitation. Zbl 1428.74100
Atanacković, Teodor; Nedeljkov, Marko; Pilipović, Stevan; Rajter-Ćiri, Danijela
4
2015
Rotating nanorod with clamped ends. Zbl 1359.74190
Atanackovic, Teodor M.; Novakovic, Branislava N.; Vrcelj, Zora; Zorica, Dusan
3
2015
Space-time fractional Zener wave equation. Zbl 1371.35319
Atanackovic, T. M.; Janev, M.; Oparnica, Lj.; Pilipovic, S.; Zorica, D.
2
2015
Fractional calculus with applications in mechanics. Vibrations and diffusion processes. Zbl 1291.74001
Atanacković, Teodor M.; Pilipović, Steven; Stanković, Bogoljub; Zorica, Dušan
70
2014
Fractional calculus with applications in mechanics. Wave propagation, impact and variational principles. Zbl 1293.74001
Atanacković, Teodor M.; Pilipović, Stevan; Stanković, Bogoljub; Zorica, Dušan
34
2014
Expansion formula for fractional derivatives in variational problems. Zbl 1309.26006
Atanacković, Teodor M.; Janev, Marko; Konjik, Sanja; Pilipović, Stevan; Zorica, Dušan
9
2014
Cauchy problems for some classes of linear fractional differential equations. Zbl 1312.34006
Atanackovic, Teodor; Dolicanin, Diana; Pilipovic, Stevan; Stankovic, Bogoljub
7
2014
An initial value problem arising in mechanics. Zbl 1356.74084
Atanackovic, Teodor M.; Pilipovic, Stevan; Zorica, Dusan
2
2014
Convergence analysis of a numerical scheme for two classes of non-linear fractional differential equations. Zbl 1337.65101
Atanackovic, Teodor M.; Janev, Marko; Pilipovic, Stevan; Zorica, Dusan
1
2014
Linear fractional differential equation with variable coefficients. II. Zbl 06704558
Atanacković, T. M.; Stanković, B.
1
2014
Forced oscillations of a body attached to a viscoelastic rod of fractional derivative type. Zbl 1423.74173
Atanackovic, Teodor M.; Pilipovic, Stevan; Zorica, Dusan
4
2013
Two compartmental fractional derivative model with fractional derivatives of different order. Zbl 1304.34012
Popović, Jovan K.; Pilipović, Stevan; Atanacković, Teodor M.
3
2013
Linear fractional differential equation with variable coefficients. I. Zbl 1313.26011
Atanacković, T. M.; Stanković, B.
1
2013
The Cattaneo type space-time fractional heat conduction equation. Zbl 1267.80006
Atanacković, Teodor; Konjik, Sanja; Oparnica, Ljubica; Zorica, Dušan
6
2012
Shape optimization against buckling of micro- and nano-rods. Zbl 1293.74342
Atanackovic, Teodor M.; Novakovic, Branislava N.; Vrcelj, Zora
5
2012
Application of Pontryagin’s principle to bimodal optimization of nano rods. Zbl 1359.74189
Atanackovic, Teodor M.; Novakovic, Branislava N.; Vrcelj, Zora
4
2012
Complementary variational principles with fractional derivatives. Zbl 1308.70033
Atanackovic, Teodor M.; Janev, Marko; Pilipovic, Stevan; Zorica, Dusan
3
2012
A theory of linear differential equations with fractional derivatives. Zbl 1289.34007
Atanacković, T. M.; Pilipović, S.; Stanković, B.
1
2012
Distributed-order fractional wave equation on a finite domain. Stress relaxation in a rod. Zbl 1231.74144
Atanackovic, T. M.; Pilipovic, S.; Zorica, D.
30
2011
Hamilton’s principle with variable order fractional derivatives. Zbl 1273.70031
Atanackovic, Teodor M.; Pilipovic, Stevan
21
2011
Fully fractional anisotropic diffusion for image denoising. Zbl 1225.94003
Janev, Marko; Pilipović, Stevan; Atanacković, Teodor; Obradović, Radovan; Ralević, Nebojša
19
2011
Distributed-order fractional wave equation on a finite domain: creep and forced oscillations of a rod. Zbl 1272.74324
Atanackovic, Teodor M.; Pilipovic, Stevan; Zorica, Dusan
15
2011
Thermodynamical restrictions and wave propagation for a class of fractional order viscoelastic rods. Zbl 1217.74064
Atanacković, Teodor M.; Konjik, Sanja; Oparnica, Ljubica; Zorica, Dušan
13
2011
Dissipativity and stability for a nonlinear differential equation with distributed order symmetrized fractional derivative. Zbl 1223.34006
Atanacković, 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 1274.74239
Novakovic, Branislava N.; Atanackovic, Teodor M.
2
2011
Semilinear ordinary differential equation coupled with distributed order fractional differential equation. Zbl 1194.26006
Atanackovic, Teodor M.; Oparnica, Ljubica; Pilipović, Stevan
7
2010
Generalized Hamilton’s principle with fractional derivatives. Zbl 1379.70052
Atanacković, T. M.; Konjik, S.; Oparnica, Lj; Pilipović, S.
5
2010
Variational problems with fractional derivatives: invariance conditions and Nöther’s theorem. Zbl 1163.49022
Atanacković, Teodor M.; Konjik, Sanja; Pilipović, Stevan; Simić, Srboljub
46
2009
Time distributed-order diffusion-wave equation. II. Applications of Laplace and Fourier transformations. Zbl 1186.35107
Atanackovic, Teodor M.; Pilipovic, Stevan; Zorica, Dusan
38
2009
Time distributed-order diffusion-wave equation. I. Volterra-type equation. Zbl 1186.35106
Atanackovic, Teodor M.; Pilipovic, Stevan; Zorica, Dusan
35
2009
Generalized wave equation in nonlocal elasticity. Zbl 1397.74100
Atanackovic, T. M.; Stankovic, B.
29
2009
Distributional framework for solving fractional differential equations. Zbl 1170.26003
Atanackovic, 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 1271.74374
Novakovic, Branislava N.; Atanackovic, Teodor M.
1
2009
Variational problems with fractional derivatives: Euler-Lagrange equations. Zbl 1175.49020
Atanacković, T. M.; Konjik, S.; Pilipović, S.
62
2008
Similarity solutions to nonlinear heat conduction and Burgers/Korteweg-deVries fractional equations. Zbl 1157.35470
Djordjevic, Vladan D.; Atanackovic, Teodor M.
39
2008
On a numerical scheme for solving differential equations of fractional order. Zbl 1258.65103
Atanackovic, T. M.; Stankovic, B.
36
2008
Application of Pontryagin’s principle to bimodal optimization problems. Zbl 1273.74372
Atanackovic, Teodor M.; Seyranian, Alexander P.
5
2008
A diffusion wave equation with two fractional derivatives of different order. Zbl 1121.35069
Atanackovic, T. M.; Pilipovic, S.; Zorica, D.
29
2007
On a class of differential equations with left and right fractional derivatives. Zbl 1131.34003
Atanackovic, T. M.; Stankovic, B.
29
2007
On a nonlinear distributed order fractional differential equation. Zbl 1115.34005
Atanacković, Teodor M.; Oparnica, Ljubica; Pilipović, Stevan
17
2007
On a differential equation with left and right fractional derivatives. Zbl 1136.26301
Atanackovic, Teodor M.; Stankovich, Bogoljub
9
2007
Optimal shape of an elastic rod in flexural-torsional buckling. Zbl 1116.74050
Atanackovic, T. M.
5
2007
Optimal shape of a strongest inverted column. Zbl 1113.49021
Atanackovic, Teodor M.
4
2007
Optimal shape of an elastic column on elastic foundation. Zbl 1083.74040
Atanackovic, T. M.; Novakovic, B. N.
11
2006
Optimal shape of column with own weight: Bi and single modal optimization. Zbl 1158.74441
Atanackovic, Teodor M.
6
2006
On a model of viscoelastic rod in unilateral contact with a rigid wall. Zbl 1114.74027
Atanackovic, Teodor M.; Oparnica, Ljubica; Pilipovic, Stevan
4
2006
Generalized solutions to a linear discontinuous differential equation. Zbl 1154.34309
Stanković, B.; Atanacković, T. M.
1
2006
On an optimization problem for elastic rods. Zbl 1245.74056
Jelicic, Z. D.; Atanackovic, T. M.
1
2006
On a fractional distributed-order oscillator. Zbl 1074.74030
Atanackovic, T. M.; Budincevic, M.; Pilipovic, S.
32
2005
On a class of equations arising in linear viscoelasticity theory. Zbl 1076.74014
Atanackovic, T.; Pilipovic, S.
7
2005
The strongest rotating rod. Zbl 1349.74217
Atanackovic, T. M.; Braun, D. J.
3
2005
On a system of differential equations with fractional derivatives arising in rod theory. Zbl 1059.35011
Atanackovic, Teodor M.; Stankovic, Bogoljub
31
2004
An expansion formula for fractional derivatives and its application. Zbl 1128.26003
Atanackovic, T. M.; Stankovic, B.
18
2004
An introduction to modern variational techniques in mechanics and engineering. Zbl 1081.70002
Vujanovic, B. D.; Atanackovic, T. M.
13
2004
On viscoelastic compliant contact-impact models. Zbl 1111.74312
Atanackovic, T. M.; Spasic, D. T.
7
2004
On the optimal shape of a compressed rotating rod. Zbl 1050.74035
Atanackovic, Teodor M.
4
2004
Bimodal optimization of a compressed rotating rod. Zbl 1066.74044
Spasic, D. T.; Atanackovic, T. M.
4
2004
On an inequality arising in fractional oscillator theory. Zbl 1072.26008
Stankovic, Bogoljub; Atanackovic, Teodor M.
4
2004
On a viscoelastic rod with constitutive equation containing fractional derivatives of two different orders. Zbl 1066.74037
Stankovic, B.; Atanackovic, T. M.
2
2004
Optimal shape of a heavy compressed column. Zbl 1243.74134
Atanackovic, Teodor M.; Glavardanov, V. B.
1
2004
On a distributed derivative model of a viscoelastic body. Zbl 1177.74093
Atanackovic, Teodor M.
18
2003
A generalized model for the uniaxial isothermal deformation of a viscoelastic body. Zbl 1089.74015
Atanackovic, T. M.
30
2002
A modified Zener model of a viscoelastic body. Zbl 1032.74015
Atanackovic, Teodor M.
26
2002
Dynamics of a viscoelastic rod of fractional derivative type. Zbl 1008.74051
Atanackovic, T. M.; Stankovic, B.
11
2002
Buckling of a twisted and compressed rod. Zbl 1040.74019
Atanackovic, Teodor M.; Glavardanov, Valentin B.
4
2002
Dynamics of a rod made of generalized Kelvin-Voigt viscoelastic material. Zbl 1067.74037
Stankovic, B.; Atanackovic, T. M.
2
2002
Optimal shape of a twisted and compressed rod. Zbl 0998.74058
Glavardanov, Valentin B.; Atanackovic, Teodor M.
8
2001
On a model of a viscoelastic rod. Zbl 1169.74465
Stankovic, Bogoljub; Atanackovic, Teodor M.
3
2001
On the optimal shape of a rotating rod. Zbl 1110.74319
Atanackovic, T. M.
2
2001
Stability and creep of a fractional derivate order viscoelastic rod. Zbl 1002.74036
Bačlić, B. S.; Atanacković, T. M.
8
2000
On the optimal shape of a Pflüger column. Zbl 0978.74057
Atanackovic, Teodor M.; Simic, Srboljub S.
10
1999
On the impact of elastic bodies with adhesive forces. Zbl 0963.74042
Atanackovic, Teodor M.; Spasic, Dragan T.
2
1999
Fluid conveying pipe with shear and compressibility. Zbl 0921.73217
Guran, A.; Atanackovic, T. M.
2
1998
Buckling of a compressible elastic ring. Zbl 0897.73025
Atanackovic, T. M.
1
1998
Stability theory of elastic rods. Zbl 0928.74002
Atanackovic, T. M.
27
1997
On the rotating rod with variable cross-section. Zbl 0895.73036
Atanackovic, T. M.
3
1997
Twisted axially loaded rod with shear and compressibility. Zbl 0877.73026
Atanackovic, T. M.; Glavardanov, V. B.
3
1996
Dynamics of plane motion of an elastic rod. Zbl 0879.73026
Atanackovic, T. M.; Cveticanin, L. J.
1
1996
A new form of the coherency energy in pseudoelasticity. Zbl 0841.73004
Atanackovic, T.; Müller, I.
2
1995
A model for plane elastica with simple shear deformation pattern. Zbl 0810.73021
Atanackovic, T. M.; Spasic, D. T.
4
1994
The influence of shear and extensibility on the stability of a heavy rotating rod. Zbl 0777.73023
Atanackovic, Teodor; Djukic, Djordje
2
1992
Instability by extension of an extensible elastic column. Zbl 0768.73027
Atanacković, 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 0752.73032
Atanackovic, T. M.; Spasic, D. T.
2
1991
Effect of shear on stability and nonlinear behavior of a rotating rod. Zbl 0762.73034
Atanacković, T. M.; Djukic, Dj. S.; Jones, S. E.
2
1991
Stability of a compressible elastic rod with imperfections. Zbl 0668.73043
Atanacković, T. M.
3
1989
Buckling by extension: Stability boundary and post-critical behaviour. Zbl 0692.73045
Atanackovic, T. M.; Djukic, Dj. S.
3
1989
Stability of an extensible rotating rod. Zbl 0762.73033
Atanacković, T.; Achenbach, M.
2
1989
Moment-curvature relations for a pseudoelastic beam. Zbl 0762.73038
Atanacković, T.; Achenbach, M.
1
1989
Stability of rotating compressed rod with imperfections. Zbl 0629.73035
Atanacković, T. M.
5
1987
...and 18 more Documents
all top 5

Cited by 881 Authors

74 Atanackovic, Teodor M.
28 Pilipović, Stevan
25 Zorica, Dusan
22 Almeida, Ricardo
22 Băleanu, Dumitru I.
22 Torres, Delfim Fernando Marado
20 Zhang, Yi
12 Liu, Fawang
11 Đukić, Đorđe Slavka
11 Konjik, Sanja
10 Malinowska, Agnieszka Barbara
10 Oparnica, Ljubica
9 Dehghan Takht Fooladi, Mehdi
9 Janev, Marko
9 Machado, José António Tenreiro
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 Novakovic, Branislava N.
6 Pooseh, Shakoor
6 Stanković, Bogoljub
6 Tarasov, Vasily E.
5 Grahovac, Nenad M.
5 Kiryakova, Virginia S.
5 Sun, Zhizhong
5 Wang, Gangwei
5 Zayernouri, Mohsen
4 Aghili, Arman
4 Cajić, Milan
4 Chen, Yangquan
4 Daftardar-Gejji, Varsha
4 Èneeva, Liana M.
4 Eslahchi, Mohammad Reza
4 Gao, Guanghua
4 Karličić, Danilo Z.
4 Karniadakis, George Em
4 Kolokoltsov, Vassili N.
4 Maretic, Ratko B.
4 Obradović, Aleksandar
4 Rapaić, Milan R.
4 Razzaghi, Mohsen
4 Rodríguez-López, Rosana
4 Sahoo, Subhadarshan
4 Šalinić, Slaviša
4 Song, Chuanjing
4 Spasic, Dragan T.
4 Sumelka, Wojciech
4 Vrcelj, Zora
3 Abdeljawad, Thabet
3 Abdo, Mohammed Salem
3 Anh, Vo V.
3 Babouskos, Nick G.
3 Bahaa, Gaber Mohamed
3 Bakkyaraj, Thangarasu
3 Bazhlekova, Emilia G.
3 Bui, Hai-Le
3 de Oliveira, Edmundo Capelas
3 da Silva, José Luís
3 Duan, Junsheng
3 Feng, Libo
3 Ferreira, Rui A. C.
3 Gupta, Rajesh Kumar
3 Hassani, Hossein
3 Hejazi, Seyed Reza
3 Jarad, Fahd
3 Jeličić, Zoran D.
3 Katsikadelis, John T.
3 Klimek, Małgorzata
3 Lazopoulos, Anastassios K.
3 Le, Minh-Quy
3 Panchal, Satish Kushaba
3 Povstenko, Yuriy Z.
3 Qi, Jiangang
3 Sahadevan, Ramajayam
3 Shen, Yongjun
3 Stojanović, Mirjana N.
3 Torres Ledesma, César Enrique
3 Tran, Duc-Trung
3 Xu, Tianzhou
3 Xu, Yufeng
3 Yang, Shaopu
3 Zhai, Xianghua
2 Abdrakhmanova, Aliya A.
2 Aboelenen, Tarek
2 Adhikari, Sondipon
2 Alidousti, Javad
2 Alikhanov, Anatoly A.
2 Ansari, Alireza
2 Ansari, Reza
2 Avazzadeh, Zakieh
2 Badr, Abdallah Ali
2 Bazhlekov, Ivan B.
2 Béda, Péter B.
2 Bhrawy, Ali Hassan
2 Błaszczyk, Tomasz
...and 781 more Authors
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Cited in 159 Serials

47 Fractional Calculus & Applied Analysis
35 Acta Mechanica
35 Nonlinear Dynamics
34 Applied Mathematics and Computation
24 Computers & Mathematics with Applications
20 Communications in Nonlinear Science and Numerical Simulation
18 Applied Mathematical Modelling
17 Journal of Mathematical Analysis and Applications
16 Journal of Computational and Applied Mathematics
15 Mathematical Problems in Engineering
14 Meccanica
13 Continuum Mechanics and Thermodynamics
13 European Journal of Mechanics. A. Solids
13 Advances in Difference Equations
12 Abstract and Applied Analysis
11 Journal of Computational Physics
11 Chaos, Solitons and Fractals
11 Applied Mathematics Letters
10 Applied Numerical Mathematics
10 Numerical Algorithms
10 Archive of Applied Mechanics
8 Journal of Mathematical Physics
8 Computational and Applied Mathematics
8 Structural and Multidisciplinary Optimization
7 Journal of Vibration and Control
6 Journal of Optimization Theory and Applications
6 Chaos
6 International Journal of Structural Stability and Dynamics
5 Journal of Scientific Computing
5 Advances in Mathematical Physics
4 International Journal of Engineering Science
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 International Journal of Geometric Methods in Modern Physics
4 International Journal of Applied and Computational Mathematics
4 Vestnik KRAUNTS. Fiziko-Matematicheskie Nauki
3 Computer Methods in Applied Mechanics and Engineering
3 International Journal of Solids and Structures
3 International Journal of Theoretical Physics
3 Reports on Mathematical Physics
3 Journal of Geometry and Physics
3 SIAM Journal on Scientific Computing
3 Integral Transforms and Special Functions
3 Engineering Analysis with Boundary Elements
3 Mathematics and Mechanics of Solids
3 Nonlinear Analysis. Real World Applications
3 Discrete and Continuous Dynamical Systems. Series B
3 Theoretical and Applied Mechanics
3 International Journal of Biomathematics
3 Advances in Applied Mathematics and Mechanics
2 Journal of the Franklin Institute
2 Mathematical Methods in the Applied Sciences
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Physics Letters. A
2 Integral Equations and Operator Theory
2 Mechanics Research Communications
2 Computational Mechanics
2 Dynamics and Stability of Systems
2 International Journal of Computer Mathematics
2 Journal of Mathematical Imaging and Vision
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 Russian Journal of Mathematical Physics
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Journal of Interdisciplinary Mathematics
2 International Journal of Nonlinear Sciences and Numerical Simulation
2 Mathematical Modelling and Analysis
2 Computational Methods in Applied Mathematics
2 Journal of Applied Mathematics
2 Journal of Applied Mathematics and Computing
2 Mediterranean Journal of Mathematics
2 Boundary Value Problems
2 Mathematical Modelling of Natural Phenomena
2 Tbilisi Mathematical Journal
2 International Journal of Differential Equations
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Asian Journal of Control
2 S\(\vec{\text{e}}\)MA Journal
2 Journal of Applied Analysis and Computation
2 Fractional Differential Calculus
2 Advances in Nonlinear Analysis
2 Journal of Function Spaces
2 International Journal of Systems Science. Principles and Applications of Systems and Integration
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Astrophysics and Space Science
1 Ingenieur-Archiv
1 International Journal of Plasticity
1 Journal of Engineering Mathematics
1 Journal of Fluid Mechanics
1 Journal of Statistical Physics
1 Mathematical Notes
1 Physica A
1 Theoretical and Mathematical Physics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Bulletin of Mathematical Biology
1 Bulletin of the Polish Academy of Sciences. Technical Sciences
1 Soviet Applied Mechanics
1 Automatica
1 Journal of Differential Equations
1 Journal of Functional Analysis
...and 59 more Serials
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Cited in 41 Fields

231 Real functions (26-XX)
210 Partial differential equations (35-XX)
209 Ordinary differential equations (34-XX)
172 Mechanics of deformable solids (74-XX)
142 Numerical analysis (65-XX)
82 Calculus of variations and optimal control; optimization (49-XX)
54 Mechanics of particles and systems (70-XX)
34 Integral equations (45-XX)
31 Systems theory; control (93-XX)
29 Special functions (33-XX)
25 Biology and other natural sciences (92-XX)
23 Fluid mechanics (76-XX)
22 Dynamical systems and ergodic theory (37-XX)
21 Classical thermodynamics, heat transfer (80-XX)
19 Operator theory (47-XX)
18 Probability theory and stochastic processes (60-XX)
17 Global analysis, analysis on manifolds (58-XX)
13 Information and communication theory, circuits (94-XX)
11 Statistical mechanics, structure of matter (82-XX)
10 Functional analysis (46-XX)
9 Approximations and expansions (41-XX)
8 Integral transforms, operational calculus (44-XX)
6 Operations research, mathematical programming (90-XX)
4 Topological groups, Lie groups (22-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Differential geometry (53-XX)
4 Computer science (68-XX)
3 History and biography (01-XX)
3 Quantum theory (81-XX)
3 Geophysics (86-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Difference and functional equations (39-XX)
2 Sequences, series, summability (40-XX)
2 Statistics (62-XX)
2 Optics, electromagnetic theory (78-XX)
1 Group theory and generalizations (20-XX)
1 Measure and integration (28-XX)
1 General topology (54-XX)
1 Relativity and gravitational theory (83-XX)
1 Astronomy and astrophysics (85-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

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