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Prof. Teodor M. Atanackovic
University of Novi Sad, Novi Sad, Serbia
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Academic Career Length
21Years (2006-Present)
(Calculated once Scilit publication data is synced: current year − year of first publication + 1)
Representative Publications
View All Publications23 February 2018 in Fractional Calculus and Applied Analysis
Journal Article
TATeodor M. Atanackovic
Teodor M. AtanackovicSPStevan Pilipović
Stevan PilipovićDZDušan Zorica
Dušan ZoricaThe Caputo-Fabrizio fractional derivative is analyzed in classical and distributional settings. The integral inequalities needed for application in linear viscoelasticity are presented. They are obtained from the entropy inequality in a weak form. Moreover, integration by parts, an expansion formula, approximation formula and generalized variational principles of Hamilton’s type are given. Hamilton’s action integral in the first principle, do not coincide with the lower bound in the fractional integral, while in the second principle the minimization is performed with respect to a function from a specified space and the order of fractional derivative.
15 January 2011 in Fractional Calculus and Applied Analysis
Journal Article
TATeodor M. Atanackovic
Teodor M. AtanackovicSPStevan Pilipović
Stevan PilipovićWe propose a generalization of Hamilton’s principle in which the minimization is performed with respect to the admissible functions and the order of the derivation. The Euler-Lagrange equations for such minimization are derived. They generalize the classical Euler-Lagrange equation. Also, a new variational problem is formulated in the case when the order of the derivative is defined through a constitutive equation. Necessary conditions for the existence of the minimizer are obtained. They imply various known results in a special cases.
11 October 2011 in Continuum Mechanics and Thermodynamics
Journal Article
TATeodor M. Atanackovic
Teodor M. AtanackovicSKSanja Konjik
Sanja KonjikLOLjubica Oparnica
Ljubica OparnicaDZDušan Zorica
Dušan Zorica15 January 2016 in Mechanics of Time-Dependent Materials
Journal Article
TATeodor M. Atanackovic
Teodor M. AtanackovicSKSanja Konjik
Sanja KonjikSPStevan Pilipović
Stevan PilipovićDZDušan Zorica
Dušan Zorica5 December 2010 in Continuum Mechanics and Thermodynamics
Journal Article
TATeodor M. Atanackovic
Teodor M. AtanackovicSPStevan Pilipović
Stevan PilipovićDZDusan Zorica
Dusan ZoricaJournal Article
TATeodor M. Atanackovic
Teodor M. AtanackovicSPStevan Pilipović
Stevan PilipovićWe studied a Zener-type model of a viscoelastic body within the context of general fractional calculus and derived restrictions on coefficients that follow from the dissipation inequality, which is the entropy inequality under isothermal conditions. We showed, for a stress relaxation and a wave propagation, that the restriction that follows from the entropy inequality is sufficient to guarantee the existence and uniqueness of the solution. We presented numerical data related to the solution of a wave equation for several values of parameters.
About Me
Prof. Dr. Teodor M. Atanacković has been a Full Professor at the University of Novi Sad, Serbia, since 1983 and a Corresponding member of the Serbian Academy of Science and Arts, Belgrade, since 2000. He gained a BS degree in Mechanical Engineering in 1969 at the University of Novi Sad and a PhD degree in Engineering Mechanics in 1974 from the University of Kentucky, Lexington, Kentucky, USA. He has authored or co-authored eight books and more than 200 articles for journals and proceedings. His main research interests include the stability of elastic systems, variational principles of mechanics, viscoelasticity of fractional order, and shape optimization of elastic rods.