Atanacković, Teodor M.; Janev, Marko; Pilipović, Stevan Restrictions on parameters in distributed order fractional linear constitutive equations. (English) Zbl 1505.74020 Appl. Math. Modelling 110, 99-111 (2022). MSC: 74D05 74S40 35R11 PDFBibTeX XMLCite \textit{T. M. Atanacković} et al., Appl. Math. Modelling 110, 99--111 (2022; Zbl 1505.74020) Full Text: DOI
Atanacković, Teodor M.; Janev, Marko; Pilipović, Stevan On the thermodynamical restrictions in isothermal deformations of fractional Burgers model. (English) Zbl 1462.74029 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 378, No. 2172, Article ID 20190278, 13 p. (2020). MSC: 74D05 26A33 PDFBibTeX XMLCite \textit{T. M. Atanacković} et al., Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 378, No. 2172, Article ID 20190278, 13 p. (2020; Zbl 1462.74029) Full Text: DOI Link
Atanacković, Teodor; Pilipović, Stevan; Seleši, Dora Wave propagation dynamics in a fractional Zener model with stochastic excitation. (English) Zbl 1488.35324 Fract. Calc. Appl. Anal. 23, No. 6, 1570-1604 (2020). MSC: 35L05 26A33 35R11 35R60 60G15 74D05 74J05 82D30 PDFBibTeX XMLCite \textit{T. Atanacković} et al., Fract. Calc. Appl. Anal. 23, No. 6, 1570--1604 (2020; Zbl 1488.35324) Full Text: DOI
Atanacković, Teodor M.; Janev, Marko; Pilipović, Stevan Wave equation in fractional Zener-type viscoelastic media involving Caputo-Fabrizio fractional derivatives. (English) Zbl 1458.74073 Meccanica 54, No. 1-2, 155-167 (2019). MSC: 74J10 74D05 35Q74 26A33 PDFBibTeX XMLCite \textit{T. M. Atanacković} et al., Meccanica 54, No. 1--2, 155--167 (2019; Zbl 1458.74073) Full Text: DOI
Atanacković, Teodor; Pilipović, Stevan Bogoljub Stanković: contributions to generalized asymptotics and mechanics. (English) Zbl 1479.46052 Bull., Cl. Sci. Math. Nat., Sci. Math. 43, 27-38 (2018). MSC: 46F10 46F12 26A33 74D05 01A70 PDFBibTeX XMLCite \textit{T. Atanacković} and \textit{S. Pilipović}, Bull., Cl. Sci. Math. Nat., Sci. Math. 43, 27--38 (2018; Zbl 1479.46052) Full Text: Link
Atanacković, Teodor M.; Janev, Marko; Konjik, Sanja; Pilipović, Stevan Complex fractional Zener model of wave propagation in \(\mathbb{R}\). (English) Zbl 1439.35518 Fract. Calc. Appl. Anal. 21, No. 5, 1313-1334 (2018). MSC: 35R11 35Q74 74D05 74J05 PDFBibTeX XMLCite \textit{T. M. Atanacković} et al., Fract. Calc. Appl. Anal. 21, No. 5, 1313--1334 (2018; Zbl 1439.35518) Full Text: DOI
Atanacković, Teodor M.; Janev, Marko; Konjik, Sanja; Pilipović, Stevan Wave equation for generalized Zener model containing complex order fractional derivatives. (English) Zbl 1365.74043 Contin. Mech. Thermodyn. 29, No. 2, 569-583 (2017). MSC: 74D05 35Q74 35R11 74F05 74K10 80A10 PDFBibTeX XMLCite \textit{T. M. Atanacković} et al., Contin. Mech. Thermodyn. 29, No. 2, 569--583 (2017; Zbl 1365.74043) Full Text: DOI arXiv
Atanackovic, Teodor M.; Janev, Marko; Konjik, Sanja; Pilipovic, Stevan; Zorica, Dusan Vibrations of an elastic rod on a viscoelastic foundation of complex fractional Kelvin-Voigt type. (English) Zbl 1325.74080 Meccanica 50, No. 7, 1679-1692 (2015). MSC: 74K10 74H45 35R11 74D05 35Q74 PDFBibTeX XMLCite \textit{T. M. Atanackovic} et al., Meccanica 50, No. 7, 1679--1692 (2015; Zbl 1325.74080) Full Text: DOI
Atanacković, Teodor; Nedeljkov, Marko; Pilipović, Stevan; Rajter-Ćiri, Danijela Dynamics of a fractional derivative type of a viscoelastic rod with random excitation. (English) Zbl 1428.74100 Fract. Calc. Appl. Anal. 18, No. 5, 1232-1251 (2015). MSC: 74H50 74K10 74D05 26A33 PDFBibTeX XMLCite \textit{T. Atanacković} et al., Fract. Calc. Appl. Anal. 18, No. 5, 1232--1251 (2015; Zbl 1428.74100) Full Text: DOI
Atanackovic, Teodor M.; Pilipovic, Stevan; Zorica, Dusan An initial value problem arising in mechanics. (English) Zbl 1356.74084 Arch. Appl. Mech. 84, No. 2, 219-233 (2014). MSC: 74H45 74K10 74D05 26A33 PDFBibTeX XMLCite \textit{T. M. Atanackovic} et al., Arch. Appl. Mech. 84, No. 2, 219--233 (2014; Zbl 1356.74084) Full Text: DOI arXiv
Atanacković, Teodor M.; Pilipović, Stevan; Stanković, Bogoljub; Zorica, Dušan Fractional calculus with applications in mechanics. Wave propagation, impact and variational principles. (English) Zbl 1293.74001 Mechanical Engineering and Solid Mechanics Series. London: ISTE; Hoboken, NJ: John Wiley & Sons (ISBN 978-1-84821-679-2/hbk; 978-1-118-90906-5/ebook). xv, 406 p. (2014). Reviewer: Eugeni Syrkin (Khar’kov) MSC: 74-01 74D05 74J05 74M20 80A20 70H25 26A33 PDFBibTeX XMLCite \textit{T. M. Atanacković} et al., Fractional calculus with applications in mechanics. Wave propagation, impact and variational principles. London: ISTE; Hoboken, NJ: John Wiley \& Sons (2014; Zbl 1293.74001) Full Text: DOI
Atanacković, Teodor M.; Konjik, Sanja; Pilipović, Stevan; Zorica, Dušan Complex order fractional derivatives in viscoelasticity. arXiv:1407.8294 Preprint, arXiv:1407.8294 [math.AP] (2014). MSC: 26A33 74D05 BibTeX Cite \textit{T. M. Atanacković} et al., ``Complex order fractional derivatives in viscoelasticity'', Preprint, arXiv:1407.8294 [math.AP] (2014) Full Text: arXiv OA License
Atanackovic, Teodor M.; Pilipovic, Stevan; Zorica, Dusan Forced oscillations of a body attached to a viscoelastic rod of fractional derivative type. (English) Zbl 1423.74173 Int. J. Eng. Sci. 64, 54-65 (2013). MSC: 74D05 26A33 74K10 74H50 PDFBibTeX XMLCite \textit{T. M. Atanackovic} et al., Int. J. Eng. Sci. 64, 54--65 (2013; Zbl 1423.74173) Full Text: DOI arXiv
Atanackovic, Teodor M.; Pilipovic, Stevan; Zorica, Dusan Distributed-order fractional wave equation on a finite domain: creep and forced oscillations of a rod. (English) Zbl 1272.74324 Contin. Mech. Thermodyn. 23, No. 4, 305-318 (2011). MSC: 74J05 74K10 74D05 26A33 PDFBibTeX XMLCite \textit{T. M. Atanackovic} et al., Contin. Mech. Thermodyn. 23, No. 4, 305--318 (2011; Zbl 1272.74324) Full Text: DOI arXiv
Atanackovic, Teodor M.; Oparnica, Ljubica; Pilipovic, Stevan On a model of viscoelastic rod in unilateral contact with a rigid wall. (English) Zbl 1114.74027 IMA J. Appl. Math. 71, No. 1, 1-13 (2006). MSC: 74K10 74M15 74M20 74D05 26A33 PDFBibTeX XMLCite \textit{T. M. Atanackovic} et al., IMA J. Appl. Math. 71, No. 1, 1--13 (2006; Zbl 1114.74027) Full Text: DOI arXiv
Atanackovic, T.; Pilipovic, S. On a class of equations arising in linear viscoelasticity theory. (English) Zbl 1076.74014 ZAMM, Z. Angew. Math. Mech. 85, No. 10, 748-754 (2005). MSC: 74D05 74H20 74H25 26A33 74K10 45J05 PDFBibTeX XMLCite \textit{T. Atanackovic} and \textit{S. Pilipovic}, ZAMM, Z. Angew. Math. Mech. 85, No. 10, 748--754 (2005; Zbl 1076.74014) Full Text: DOI
Atanackovic, T. M.; Budincevic, M.; Pilipovic, S. On a fractional distributed-order oscillator. (English) Zbl 1074.74030 J. Phys. A, Math. Gen. 38, No. 30, 6703-6713 (2005). MSC: 74H45 74D05 74K10 26A33 PDFBibTeX XMLCite \textit{T. M. Atanackovic} et al., J. Phys. A, Math. Gen. 38, No. 30, 6703--6713 (2005; Zbl 1074.74030) Full Text: DOI