Ing.

Tomáš Kisela

Ph.D.

FSI, ÚM OMA – vědecký pracovník

+420 54114 2722
kisela@fme.vutbr.cz

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Ing. Tomáš Kisela, Ph.D.

Publikace

  • 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.
    Detail | WWW

    KISELA, T. On stability of delayed differential systems of arbitrary non-integer order. Mathematics for applications, 2020, roč. 9, č. 1, s. 31-42. ISSN: 1805-3610.
    Detail | WWW

    KISELA, T. On dynamical systems with nabla half derivative on time scales. Mediterranean Journal of Mathematics, 2020, roč. 17, č. 187, s. 1-19. ISSN: 1660-5446.
    Detail | WWW

  • 2019

    KISELA, T.; ČERMÁK, J. Oscillatory and asymptotic properties of fractional delay differential equations. Electronic Journal of Differential Equations, 2019, roč. 2019, č. 33, s. 1-15. ISSN: 1072-6691.
    Detail | WWW

    KISELA, T.; ČERMÁK, J. Delay-dependent stability switches in fractional differential equations. Communications in Nonlinear Science and Numerical Simulation, 2019, roč. 79, č. 1, s. 1-19. ISSN: 1007-5704.
    Detail | WWW

    KISELA, T.; DOLNÍK, M. Lerch's theorem on nabla time scales. Mathematica Slovaca, 2019, roč. 69, č. 5, s. 1127-1136. ISSN: 0139-9918.
    Detail | WWW

  • 2017

    CABADA, A.; KISELA, T. Existence of positive periodic solutions of some nonlinear fractional differential equations. Communications in Nonlinear Science and Numerical Simulation, 2017, roč. 50, č. 1, s. 51-67. ISSN: 1007-5704.
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    ČERMÁK, J.; KISELA, T.; DOŠLÁ, Z. Fractional differential equations with a constant delay: Stability and asymptotics of solutions. APPLIED MATHEMATICS AND COMPUTATION, 2017, roč. 298, č. 1, s. 336-350. ISSN: 0096-3003.
    Detail | WWW

    KISELA, T. On asymptotic behaviour of solutions of a linear fractional differential equation with a variable coefficient. Memoirs Diff. Equat. Math. Phys, 2017, roč. 72, č. 1, s. 71-78. ISSN: 1512-0015.
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  • 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, roč. 31, č. 1-3, s. 108-123. ISSN: 1007-5704.
    Detail | WWW

  • 2015

    KISELA, T. An analysis of the stability boundary for a linear fractional difference system. Mathematica Bohemica, 2015, roč. 140, č. 2, s. 195-203. ISSN: 0862- 7959.
    Detail

    KISELA, T.; ČERMÁK, J. Stability properties of two- term fractional differential equations. NONLINEAR DYNAMICS, 2015, roč. 80, č. 4, s. 1673-1684. ISSN: 0924- 090X.
    Detail

    KISELA, T.; ČERMÁK, J. Asymptotic Stability Of Dynamic Equations With Two Fractional Terms: Continuous Versus Discrete Case. Fractional Calculus and Applied Analysis, 2015, roč. 18, č. 2, s. 437-458. ISSN: 1311-0454.
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  • 2014

    ČERMÁK, J.; KISELA, T. Exact and discretized stability of the Bagley- Torvik equation. Journal of Computational and Applied Mathematics, 2014, roč. 269, č. 10, s. 53-67. ISSN: 0377- 0427.
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    ČERMÁK, J.; KISELA, T. Introduction to Stability Theory of Linear Fractional Difference Equations. In Fractional Calculus: Theory. Mathematics Research Developments. 2014. s. 117-162. ISBN: 978-1-63463-002- 3.
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  • 2013

    KISELA, T. Power functions and essentials of fractional calculus on isolated time scales. Advances in Difference Equations, 2013, roč. 2013, č. 8, s. 1-18. ISSN: 1687-1847.
    Detail | WWW | Plný text v Digitální knihovně

    ČERMÁK, J.; KISELA, T.; NECHVÁTAL, L. Stability regions for linear fractional differential systems and their discretizations. APPLIED MATHEMATICS AND COMPUTATION, 2013, roč. 219, č. 12, s. 7012-7022. ISSN: 0096- 3003.
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  • 2012

    KISELA, T. Basics of Qualitative Theory of Linear Fractional Difference Equations. 2012.
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    ČERMÁK, J.; KISELA, T.; NECHVÁTAL, L. Stability and asymptotic properties of a linear fractional difference equation. Advances in Difference Equations, 2012, roč. 2012, č. 1, s. 1-14. ISSN: 1687-1847.
    Detail | WWW | Plný text v Digitální knihovně

  • 2011

    ČERMÁK, J.; KISELA, T.; NECHVÁTAL, L. Discrete Mittag- Leffler functions in linear fractional difference equations. Abstract and Applied Analysis, 2011, roč. 2011, č. 2011, s. 1-21. ISSN: 1085- 3375.
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  • 2010

    ČERMÁK, J.; KISELA, T. Note on a discretization of a linear fractional differential equation. Mathematica Bohemica, 2010, roč. 135, č. 2, s. 179-188. ISSN: 0862- 7959.
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    KISELA, T. Applications of the fractional calculus: On a discretization of fractional diffusion equation in one dimension. Communications, 2010, roč. 12, č. 1, s. 5-11. ISSN: 1335- 4205.
    Detail | WWW

    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. s. 264-269. ISBN: 978-80-553-0487- 8.
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    ŠANDERA, Č.; KISELA, T.; ŠEDA, M. Heuristic identification of fractional- order systems. In Mendel 2010. Mendel Journal series. 2010. s. 550-557. ISBN: 978-80-214-4120- 0. ISSN: 1803- 3814.
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  • 2009

    KISELA, T. Fractional Generalization of the Classical Viscoelasticity Models. Journal of Applied Mathematics, 2009, roč. 2, č. 2, s. 209-217. ISSN: 1337- 6365.
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*) Citace publikací se generují jednou za 24 hodin.