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Vyhledávání Vyhledat Zavřít
doc. Ing.
Ph.D.
FSI, ÚM OMA – vědecký pracovník
+420 54114 2722kisela@fme.vutbr.cz
Odeslat VUT zprávu
2023
KISELA, T.; ČERMÁK, J. Stabilization and destabilization of fractional oscillators via a delayed feedback control. Communications in Nonlinear Science and Numerical Simulation, 2023, vol. 117, iss. 1, p. 1-16. ISSN: 1007-5704.
Článek WoS
ČERMÁK, J.; KISELA, T.; NECHVÁTAL, L. The Lambert function method in qualitative analysis of fractional delay differential equations. Fractional Calculus and Applied Analysis, 2023, vol. 26, iss. 4, p. 1545-1565. ISSN: 1311-0454.
2022
KISELA, T. Odkud se berou aplikace zlomkového kalkulu. Kvaternion, 2022, roč. 2022, č. 1-2, s. 3-15. ISSN: 1805-1324.
Článek recenzovaný mimo WoS a Scopus
2020
ČERMÁK, J.; KISELA, T.; NECHVÁTAL, L. Několik poznámek ke zlomkovému kalkulu. Pokroky matematiky, fyziky a astronomie, 2020, roč. 65, č. 3, s. 157-175. ISSN: 0032-2423.
KISELA, T. On stability of delayed differential systems of arbitrary non-integer order. Mathematics for applications, 2020, vol. 9, iss. 1, p. 31-42. ISSN: 1805-3610.
Článek Scopus
KISELA, T. On dynamical systems with nabla half derivative on time scales. Mediterranean Journal of Mathematics, 2020, vol. 17, iss. 187, p. 1-19. ISSN: 1660-5446.
2019
KISELA, T.; DOLNÍK, M. Lerch's theorem on nabla time scales. Mathematica Slovaca, 2019, vol. 69, iss. 5, p. 1127-1136. ISSN: 0139-9918.
KISELA, T.; ČERMÁK, J. Oscillatory and asymptotic properties of fractional delay differential equations. Electronic Journal of Differential Equations, 2019, vol. 2019, iss. 33, p. 1-15. ISSN: 1072-6691.
KISELA, T.; ČERMÁK, J. Delay-dependent stability switches in fractional differential equations. Communications in Nonlinear Science and Numerical Simulation, 2019, vol. 79, iss. 1, p. 1-19. ISSN: 1007-5704.
2017
KISELA, T. On asymptotic behaviour of solutions of a linear fractional differential equation with a variable coefficient. Memoirs on Differential Equations and Mathematical Physics, 2017, vol. 72, iss. 1, p. 71-78. ISSN: 1512-0015.
CABADA, A.; KISELA, T. Existence of positive periodic solutions of some nonlinear fractional differential equations. Communications in Nonlinear Science and Numerical Simulation, 2017, vol. 50, iss. 1, p. 51-67. ISSN: 1007-5704.
ČERMÁK, J.; KISELA, T.; DOŠLÁ, Z. Fractional differential equations with a constant delay: Stability and asymptotics of solutions. APPLIED MATHEMATICS AND COMPUTATION, 2017, vol. 298, iss. 1, p. 336-350. ISSN: 0096-3003.
2016
ČERMÁK, J.; KISELA, T.; HORNÍČEK, J. Stability regions for fractional differential systems with a time delay. Communications in Nonlinear Science and Numerical Simulation, 2016, vol. 31, iss. 1-3, p. 108-123. ISSN: 1007-5704.
2015
KISELA, T.; ČERMÁK, J. Asymptotic Stability Of Dynamic Equations With Two Fractional Terms: Continuous Versus Discrete Case. Fractional Calculus and Applied Analysis, 2015, vol. 18, iss. 2, p. 437-458. ISSN: 1311-0454.
KISELA, T. An analysis of the stability boundary for a linear fractional difference system. Mathematica Bohemica, 2015, vol. 140, iss. 2, p. 195-203. ISSN: 0862-7959.
KISELA, T.; ČERMÁK, J. Stability properties of two-term fractional differential equations. NONLINEAR DYNAMICS, 2015, vol. 80, iss. 4, p. 1673-1684. ISSN: 0924-090X.
2014
ČERMÁK, J.; KISELA, T. Introduction to Stability Theory of Linear Fractional Difference Equations. In Fractional Calculus: Theory. Mathematics Research Developments. 2014. p. 117.ISBN: 978-1-63463-002-3.
Kapitola, resp. kapitoly v odborné knize
ČERMÁK, J.; KISELA, T. Exact and discretized stability of the Bagley-Torvik equation. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2014, vol. 269, iss. 10, p. 53-67. ISSN: 0377-0427.
2013
KISELA, T. Power functions and essentials of fractional calculus on isolated time scales. Advances in Difference Equations, 2013, vol. 2013, iss. 8, p. 1-18. ISSN: 1687-1847.
ČERMÁK, J.; KISELA, T.; NECHVÁTAL, L. Stability regions for linear fractional differential systems and their discretizations. APPLIED MATHEMATICS AND COMPUTATION, 2013, vol. 219, iss. 12, p. 7012-7022. ISSN: 0096-3003.
2012
KISELA, T. Basics of Qualitative Theory of Linear Fractional Difference Equations. 2012. 69 p.
Dizertace
ČERMÁK, J.; KISELA, T.; NECHVÁTAL, L. Stability and asymptotic properties of a linear fractional difference equation. Advances in Difference Equations, 2012, vol. 2012, iss. 1, p. 1-14. ISSN: 1687-1847.
2011
ČERMÁK, J.; KISELA, T.; NECHVÁTAL, L. Discrete Mittag-Leffler functions in linear fractional difference equations. Abstract and Applied Analysis, 2011, vol. 2011, iss. 2011, p. 1-21. ISSN: 1085-3375.
2010
KISELA, T. On a Discretization of the Initial Value Problem for a Linear Nonhomogeneous Fractional Differential Equation. In Proceedings of FDA'10. Badajoz, Španělsko: Technical University of Kosice and University of Extremadura, 2010. p. 264-269. ISBN: 978-80-553-0487-8.
Stať ve sborníku v databázi WoS či Scopus
KISELA, T. Applications of the fractional calculus: On a discretization of fractional diffusion equation in one dimension. Komunikacie - vedecke listy Zilinskej univerzity v Ziline, 2010, vol. 12, iss. 1, p. 5-11. ISSN: 1335-4205.
ČERMÁK, J.; KISELA, T. Note on a discretization of a linear fractional differential equation. Mathematica Bohemica, 2010, vol. 135, iss. 2, p. 179-188. ISSN: 0862-7959.
ŠANDERA, Č.; KISELA, T.; ŠEDA, M. Heuristic identification of fractional-order systems. In Mendel 2010. Mendel ... 2010. s. 550-557. ISBN: 978-80-214-4120-0. ISSN: 1803-3814.
2009
KISELA, T. Fractional Generalization of the Classical Viscoelasticity Models. Journal of Applied Mathematics, 2009, vol. 2, iss. 2, p. 209-217. ISSN: 1337-6365.
*) Citace se generují jednou za 24 hodin.