Sibuya probability distributions and numerical evaluation of fractional-order operators.

Igor Podlubny

Nikolai Leonenko Igor Podlubny Sibuya probability distributions and numerical evaluation of fractional-order operators. 2025 April abs/2504.21523 CoRR https://doi.org/10.48550/arXiv.2504.21523 db/journals/corr/corr2504.html#abs-2504-21523 streams/journals/corr

Igor Podlubny Detection of the papermilling behavior. 2024 abs/2405.19872 CoRR https://doi.org/10.48550/arXiv.2405.19872 db/journals/corr/corr2405.html#abs-2405-19872

Yan Li 0004 Daduan Zhao YangQuan Chen Igor Podlubny Chenghui Zhang Finite energy Lyapunov function candidate for fractional order general nonlinear systems. 104886 2019 78 Commun. Nonlinear Sci. Numer. Simul. https://doi.org/10.1016/j.cnsns.2019.104886 https://www.wikidata.org/entity/Q127656889 db/journals/cnsns/cnsns78.html#0004ZCPZ19

Tomas Skovranek Michal Macias Dominik Sierociuk Wiktor Malesza Andrzej Dzielinski Igor Podlubny Jana Pócsová Ivo Petrás Anomalous diffusion modeling using ultracapacitors in domino ladder circuit. 136-141 2019 84 Microelectron. J. https://doi.org/10.1016/j.mejo.2019.01.005 https://www.wikidata.org/entity/Q104406964 db/journals/mj/mj84.html#SkovranekMSMDPP19

Yan Li 0004 YangQuan Chen Igor Podlubny Reply to "Comments on 'Mittag-Leffler stability of fractional order nonlinear dynamic systems' [Automatica 45(8) (2009) 1965-1969]". 330 2017 75 Autom. https://doi.org/10.1016/j.automatica.2016.09.026 db/journals/automatica/automatica75.html#LiCP17

Matej Mikulszky Jana Pócsova Andrea Mojzisova Igor Podlubny Responsive Graphical User Interface (ReGUI) and its Implementation in MATLAB. 2017 abs/1704.03521 CoRR http://arxiv.org/abs/1704.03521 db/journals/corr/corr1704.html#MikulszkyPMP17

Igor Podlubny Peter Kmetek Computer-Generated Art: Madonna and Child - Infinity of Life. 387 2016 UKSim https://doi.org/10.1109/UKSim.2016.48 https://doi.ieeecomputersociety.org/10.1109/UKSim.2016.48 conf/uksim/2016 db/conf/uksim/uksim2016.html#PodlubnyK16

Dominik Sierociuk Tomas Skovranek Michal Macias Igor Podlubny Ivo Petrás Andrzej Dzielinski Pawel Ziubinski Diffusion process modeling by using fractional-order models. 2-11 2015 257 Appl. Math. Comput. https://doi.org/10.1016/j.amc.2014.11.028 https://www.wikidata.org/entity/Q104406990 db/journals/amc/amc257.html#SierociukSMPPDZ15

Bohdan Datsko Vasyl Gafiychuk Igor Podlubny Solitary travelling auto-waves in fractional reaction-diffusion systems. 378-387 2015 23 Commun. Nonlinear Sci. Numer. Simul. Issues https://doi.org/10.1016/j.cnsns.2014.10.028 db/journals/cnsns/cnsns23.html#DatskoGP15

George E. Karniadakis Jan S. Hesthaven Igor Podlubny Special Issue on "Fractional PDEs: Theory, Numerics, and Applications". 1-3 2015 293 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2015.04.007 db/journals/jcphy/jcphy293.html#KarniadakisHP15

Dominik Sierociuk Igor Podlubny Ivo Petrás Experimental Evidence of Variable-Order Behavior of Ladders and Nested Ladders. 459-466 2013 21 IEEE Trans. Control. Syst. Technol. 2 https://doi.org/10.1109/TCST.2012.2185932 db/journals/tcst/tcst21.html#SierociukPP13

Zhuang Jiao YangQuan Chen Igor Podlubny Distributed-Order Dynamic Systems - Stability, Simulation, Applications and Perspectives 2012 i-xiii, 1-90 Springer Springer Briefs in Electrical and Computer Engineering 978-1-4471-2851-9 978-1-4471-2852-6 https://doi.org/10.1007/978-1-4471-2852-6

Changpin Li Yangquan Chen Blas M. Vinagre Igor Podlubny Introduction. 2012 22 Int. J. Bifurc. Chaos 4 https://doi.org/10.1142/S0218127412020026 https://www.wikidata.org/entity/Q58422949 db/journals/ijbc/ijbc22.html#LiCVP12

Ivo Petrás Dominik Sierociuk Igor Podlubny Identification of Parameters of a Half-Order System. 5561-5566 2012 60 IEEE Trans. Signal Process. 10 https://doi.org/10.1109/TSP.2012.2205920 db/journals/tsp/tsp60.html#PetrasSP12

Richard L. Magin Manuel Duarte Ortigueira Igor Podlubny Juan J. Trujillo On the fractional signals and systems. 350-371 2011 91 Signal Process. 3 https://doi.org/10.1016/j.sigpro.2010.08.003 db/journals/sigpro/sigpro91.html#MaginOPT11

Yan Li 0004 Yangquan Chen Igor Podlubny Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability. 1810-1821 2010 59 Comput. Math. Appl. 5 https://doi.org/10.1016/j.camwa.2009.08.019 db/journals/cma/cma59.html#LiCP10

Yan Li 0004 Yangquan Chen Igor Podlubny Mittag-Leffler stability of fractional order nonlinear dynamic systems. 1965-1969 2009 45 Autom. 8 https://doi.org/10.1016/j.automatica.2009.04.003 db/journals/automatica/automatica45.html#LiCP09

Igor Podlubny Aleksei V. Chechkin Tomas Skovranek Yangquan Chen Blas M. Vinagre Jara Matrix approach to discrete fractional calculus II: Partial fractional differential equations. 3137-3153 2009 228 J. Comput. Phys. 8 https://doi.org/10.1016/j.jcp.2009.01.014 https://www.wikidata.org/entity/Q58423019 db/journals/jcphy/jcphy228.html#PodlubnyCSCJ09

Igor Podlubny Tomas Skovranek Blas M. Vinagre Matrix Approach to Discretization of Fractional Derivatives and to Solution of Fractional Differential Equations and their Systems. 1-6 2009 ETFA https://doi.org/10.1109/ETFA.2009.5347166 https://www.wikidata.org/entity/Q58423020 conf/etfa/2009 db/conf/etfa/etfa2009.html#PodlubnySV09

Igor Podlubny Aleksei V. Chechkin Tomas Skovranek Yangquan Chen Blas M. Vinagre Matrix approach to discrete fractional calculus II: partial fractional differential equations http://arxiv.org/abs/0811.1355 2008 CoRR abs/0811.1355 db/journals/corr/corr0811.html#abs-0811-1355

Hyo-Sung Ahn Yangquan Chen Igor Podlubny Robust stability test of a class of linear time-invariant interval fractional-order system using Lyapunov inequality. 27-34 2007 187 Appl. Math. Comput. 1 https://doi.org/10.1016/j.amc.2006.08.099 db/journals/amc/amc187.html#AhnCP07

Ivo Petrás Igor Podlubny State space description of national economies: The V4 countries. 1223-1233 2007 52 Comput. Stat. Data Anal. 2 https://doi.org/10.1016/j.csda.2007.05.014 db/journals/csda/csda52.html#PetrasP07

Yangquan Chen Hyo-Sung Ahn Igor Podlubny Robust stability check of fractional order linear time invariant systems with interval uncertainties. 2611-2618 2006 86 Signal Process. 10 https://doi.org/10.1016/j.sigpro.2006.02.011 db/journals/sigpro/sigpro86.html#ChenAP06

Igor Podlubny Katarina Kassayova Towards a better list of citation superstars: compiling a multidisciplinary list of highly cited researchers http://arxiv.org/abs/math/0603024 2006 CoRR abs/math/0603024 db/journals/corr/corr0603.html#abs-math-0603024

Igor Podlubny Comparison of scientific impact expressed by the number of citations in different fields of science. 95-99 2005 64 Scientometrics 1 https://doi.org/10.1007/s11192-005-0240-0 db/journals/scientometrics/scientometrics64.html#Podlubny05

Igor Podlubny A note on comparison of scientific impact expressed by number of citations in different fields of science http://arxiv.org/abs/math.ST/0410574 2004 CoRR math.ST/0410574 db/journals/corr/corr0410.html#math-ST-0410574

Igor Podlubny M. Kacenak Isoclinal matrices and numerical solution of fractional differential equations. 1467-1470 2001 ECC https://doi.org/10.23919/ECC.2001.7076125 conf/eucc/2001 db/conf/eucc/eucc2001.html#PodlubnyK01

Igor Podlubny Fractional-order systems and PI<sup>λ</sup>D<sup>μ</sup>-controllers. 208-214 1999 44 IEEE Trans. Autom. Control. 1 https://doi.org/10.1109/9.739144 db/journals/tac/tac44.html#Podlubny99

Miron Pavlus Igor Podlubny Parallel method for initial value problems for linear ordinary differential equations: speed up estimation. 279-290 1997 33 Kybernetika 3 http://www.kybernetika.cz/content/1997/3/279 db/journals/kybernetika/kybernetika33.html#PavlusP97

Igor Podlubny Parallel algorithms for initial and boundary value problems for linear ordinary differential equations and their systems. 251-260 1996 32 Kybernetika 3 http://www.kybernetika.cz/content/1996/3/251 db/journals/kybernetika/kybernetika32.html#Podlubny96

Hyo-Sung Ahn Aleksei V. Chechkin YangQuan ChenYangquan Chen B. Y. DatskoBohdan Datsko Andrzej Dzielinski V. V. GafiychukVasyl Gafiychuk Jan S. Hesthaven Zhuang Jiao M. Kacenak George Em KarniadakisGeorge E. Karniadakis Katarina Kassayova Peter Kmetek Nikolai Leonenko Changpin Li Yan Li 0004 Michal Macias Richard L. Magin Wiktor Malesza Matej Mikulszky Andrea Mojzisova Manuel Duarte Ortigueira Miron Pavlus Ivo Petrás Jana PócsovaJana Pócsová Dominik Sierociuk Tomas Skovranek Juan J. Trujillo Blas M. VinagreBlas M. Vinagre Jara Chenghui Zhang Daduan Zhao Pawel Ziubinski