Edit Profile (opens in new tab) Płociniczak, Łukasz Co-Author Distance Author ID: plociniczak.lukasz Published as: Płociniczak, Łukasz; Płociniczak, Ł.; Płociniczak, Lukasz more...less External Links: ORCID Documents Indexed: 45 Publications since 2012, including 6 Additional arXiv Preprints Co-Authors: 22 Co-Authors with 31 Joint Publications 695 Co-Co-Authors all top 5 Co-Authors 14 single-authored 8 Okrasiński, Wojciech 6 Świtała, Mateusz 5 Okrasińska-Płociniczak, Hanna 3 Wróblewska, Zofia 2 Kowalczyk, Piotr 2 Rocha, Juan 1 del Teso, Félix 1 Dominguez, Oscar 1 Jaszczak, Bogna 1 Krawiec, Michał 1 Krzyżanowski, Grzegorz Piotr 1 López-Fernández, María 1 Lopez, Belen 1 Maciejewska, Monika 1 Magdziarz, Marcin 1 Nieto Roig, Juan Jose 1 Okrasińska, Hanna 1 Palmowski, Zbigniew 1 Sadarangani, Kishin B. 1 Sobieszek, Szymon 1 Szczurek, Andrzej 1 Teuerle, Marek A. all top 5 Serials 5 Applied Mathematics and Computation 5 Communications in Nonlinear Science and Numerical Simulation 4 Physica D 3 Journal of Mathematical Analysis and Applications 3 Fractional Calculus & Applied Analysis 3 Inverse Problems in Science and Engineering 2 Computers & Mathematics with Applications 2 IMA Journal of Applied Mathematics 2 Applied Numerical Mathematics 2 Nonlinear Analysis. Real World Applications 1 SIAM Journal on Numerical Analysis 1 Journal of Integral Equations and Applications 1 Numerical Algorithms 1 SIAM Journal on Applied Mathematics 1 Journal of Nonlinear Science 1 Nonlinear Dynamics 1 Mathematical Modelling and Analysis 1 Mathematica Applicanda all top 5 Fields 15 Ordinary differential equations (34-XX) 14 Partial differential equations (35-XX) 14 Numerical analysis (65-XX) 9 Integral equations (45-XX) 9 Fluid mechanics (76-XX) 7 Real functions (26-XX) 7 Biology and other natural sciences (92-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Mechanics of particles and systems (70-XX) 3 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 34 Publications have been cited 246 times in 133 Documents Cited by ▼ Year ▼ Approximation of the Erdélyi-Kober operator with application to the time-fractional porous medium equation. Zbl 1309.26010 Płociniczak, Łukasz 31 2014 Analytical studies of a time-fractional porous medium equation. Derivation, approximation and applications. Zbl 1440.76148 Płociniczak, Łukasz 29 2015 A nonlinear mathematical model of the corneal shape. Zbl 1239.34004 Okrasiński, Wojciech; Płociniczak, Łukasz 21 2012 Existence and uniqueness results for a time-fractional nonlinear diffusion equation. Zbl 1386.35453 Płociniczak, Łukasz; Świtała, Mateusz 15 2018 Approximate self-similar solutions to a nonlinear diffusion equation with time-fractional derivative. Zbl 1286.35060 Płociniczak, Łukasz; Okrasińska, Hanna 12 2013 A note on fractional Bessel equation and its asymptotics. Zbl 1312.34023 Okrasiński, Wojciech; Płociniczak, Łukasz 12 2013 Numerical method for the time-fractional porous medium equation. Zbl 1409.76091 Płociniczak, Łukasz 11 2019 Bessel function model of corneal topography. Zbl 1329.92058 Okrasiński, Wojciech; Płociniczak, Łukasz 10 2013 Monotonicity, oscillations and stability of a solution to a nonlinear equation modelling the capillary rise. Zbl 1375.34078 Płociniczak, Łukasz; Świtała, Mateusz 10 2018 Regularization of an ill-posed problem in corneal topography. Zbl 1308.35326 Płociniczak, Ł.; Okrasiński, W. 9 2013 On a nonlinear boundary value problem modeling corneal shape. Zbl 1307.92129 Płociniczak, Łukasz; Okrasiński, Wojciech; Nieto, Juan J.; Domínguez, Oscar 8 2014 Derivation of the nonlocal pressure form of the fractional porous medium equation in the hydrological setting. Zbl 1509.35357 Płociniczak, Łukasz 8 2019 Diffusivity identification in a nonlinear time-fractional diffusion equation. Zbl 1344.35165 Płociniczak, Łukasz 7 2016 On asymptotics of some fractional differential equations. Zbl 1284.34011 Płociniczak, Łukasz 7 2013 Nonlinear parameter identification in a corneal geometry model. Zbl 1326.65153 Płociniczak, Ł.; Okrasiński, W. 5 2015 Numerical schemes for integro-differential equations with Erdélyi-Kober fractional operator. Zbl 1422.65456 Płociniczak, Łukasz; Sobieszek, Szymon 5 2017 Solution estimates for a system of nonlinear integral equations arising in optometry. Zbl 1395.45011 Okrasiński, Wojciech; Płociniczak, Łukasz 5 2018 Second order scheme for self-similar solutions of a time-fractional porous medium equation on the half-line. Zbl 1510.35383 Okrasińska-Płociniczak, Hanna; Płociniczak, Łukasz 5 2022 Numerical method for Volterra equation with a power-type nonlinearity. Zbl 1427.65423 Okrasińska-Płociniczak, Hanna; Płociniczak, Łukasz 4 2018 Eigenvalue asymptotics for a fractional boundary-value problem. Zbl 1334.34185 Płociniczak, Łukasz 4 2014 A weighted finite difference method for subdiffusive Black-Scholes model. Zbl 1447.65024 Krzyżanowski, Grzegorz; Magdziarz, Marcin; Płociniczak, Łukasz 4 2020 Solution and asymptotic analysis of a boundary value problem in the spring-mass model of running. Zbl 1434.34052 Płociniczak, Łukasz; Wróblewska, Zofia 3 2020 Oscillatory behaviour analysis of a liquid rise in cylindrical capillaries. Zbl 1454.34061 Płociniczak, Łukasz; Świtała, Mateusz 3 2021 Error of the Galerkin scheme for a semilinear subdiffusion equation with time-dependent coefficients and nonsmooth data. Zbl 1504.65211 Płociniczak, Łukasz 3 2022 Solvability in Hölder spaces of an integral equation which models dynamics of the capillary rise. Zbl 1467.45004 Okrasińska-Płociniczak, Hanna; Płociniczak, Łukasz; Rocha, Juan; Sadarangani, Kishin 3 2020 Asymptotic analysis of internal relaxation oscillations in a conceptual climate model. Zbl 1446.37077 Płociniczak, Łukasz 2 2020 Linear Galerkin-Legendre spectral scheme for a degenerate nonlinear and nonlocal parabolic equation arising in climatology. Zbl 1503.65244 Płociniczak, Łukasz 2 2022 A linear Galerkin numerical method for a quasilinear subdiffusion equation. Zbl 07699006 Płociniczak, Łukasz 2 2023 Quickest drift change detection in Lévy-type force of mortality model. Zbl 1427.60068 Krawiec, Michał; Palmowski, Zbigniew; Płociniczak, Łukasz 1 2018 Numerical scheme for Erdélyi-Kober fractional diffusion equation using Galerkin-Hermite method. Zbl 1503.65182 Płociniczak, Łukasz; Świtała, Mateusz 1 2022 Energy variations and periodic solutions in a switched inverted pendulum model of human running gaits. Zbl 1512.70030 Kowalczyk, Piotr; Płociniczak, Łukasz; Wróblewska, Zofia 1 2023 Asymptotic solution of a boundary value problem for a spring-mass model of legged locomotion. Zbl 1466.34049 Okrasińska-Płociniczak, Hanna; Płociniczak, Łukasz 1 2020 Asymptotic behaviour of a solution to a nonlinear equation modelling capillary rise. Zbl 1501.34016 Płociniczak, Łukasz; Świtała, Mateusz 1 2020 Hopf bifurcation in a conceptual climate model with ice-albedo and precipitation-temperature feedbacks. Zbl 1430.37107 Płociniczak, Łukasz 1 2020 A linear Galerkin numerical method for a quasilinear subdiffusion equation. Zbl 07699006 Płociniczak, Łukasz 2 2023 Energy variations and periodic solutions in a switched inverted pendulum model of human running gaits. Zbl 1512.70030 Kowalczyk, Piotr; Płociniczak, Łukasz; Wróblewska, Zofia 1 2023 Second order scheme for self-similar solutions of a time-fractional porous medium equation on the half-line. Zbl 1510.35383 Okrasińska-Płociniczak, Hanna; Płociniczak, Łukasz 5 2022 Error of the Galerkin scheme for a semilinear subdiffusion equation with time-dependent coefficients and nonsmooth data. Zbl 1504.65211 Płociniczak, Łukasz 3 2022 Linear Galerkin-Legendre spectral scheme for a degenerate nonlinear and nonlocal parabolic equation arising in climatology. Zbl 1503.65244 Płociniczak, Łukasz 2 2022 Numerical scheme for Erdélyi-Kober fractional diffusion equation using Galerkin-Hermite method. Zbl 1503.65182 Płociniczak, Łukasz; Świtała, Mateusz 1 2022 Oscillatory behaviour analysis of a liquid rise in cylindrical capillaries. Zbl 1454.34061 Płociniczak, Łukasz; Świtała, Mateusz 3 2021 A weighted finite difference method for subdiffusive Black-Scholes model. Zbl 1447.65024 Krzyżanowski, Grzegorz; Magdziarz, Marcin; Płociniczak, Łukasz 4 2020 Solution and asymptotic analysis of a boundary value problem in the spring-mass model of running. Zbl 1434.34052 Płociniczak, Łukasz; Wróblewska, Zofia 3 2020 Solvability in Hölder spaces of an integral equation which models dynamics of the capillary rise. Zbl 1467.45004 Okrasińska-Płociniczak, Hanna; Płociniczak, Łukasz; Rocha, Juan; Sadarangani, Kishin 3 2020 Asymptotic analysis of internal relaxation oscillations in a conceptual climate model. Zbl 1446.37077 Płociniczak, Łukasz 2 2020 Asymptotic solution of a boundary value problem for a spring-mass model of legged locomotion. Zbl 1466.34049 Okrasińska-Płociniczak, Hanna; Płociniczak, Łukasz 1 2020 Asymptotic behaviour of a solution to a nonlinear equation modelling capillary rise. Zbl 1501.34016 Płociniczak, Łukasz; Świtała, Mateusz 1 2020 Hopf bifurcation in a conceptual climate model with ice-albedo and precipitation-temperature feedbacks. Zbl 1430.37107 Płociniczak, Łukasz 1 2020 Numerical method for the time-fractional porous medium equation. Zbl 1409.76091 Płociniczak, Łukasz 11 2019 Derivation of the nonlocal pressure form of the fractional porous medium equation in the hydrological setting. Zbl 1509.35357 Płociniczak, Łukasz 8 2019 Existence and uniqueness results for a time-fractional nonlinear diffusion equation. Zbl 1386.35453 Płociniczak, Łukasz; Świtała, Mateusz 15 2018 Monotonicity, oscillations and stability of a solution to a nonlinear equation modelling the capillary rise. Zbl 1375.34078 Płociniczak, Łukasz; Świtała, Mateusz 10 2018 Solution estimates for a system of nonlinear integral equations arising in optometry. Zbl 1395.45011 Okrasiński, Wojciech; Płociniczak, Łukasz 5 2018 Numerical method for Volterra equation with a power-type nonlinearity. Zbl 1427.65423 Okrasińska-Płociniczak, Hanna; Płociniczak, Łukasz 4 2018 Quickest drift change detection in Lévy-type force of mortality model. Zbl 1427.60068 Krawiec, Michał; Palmowski, Zbigniew; Płociniczak, Łukasz 1 2018 Numerical schemes for integro-differential equations with Erdélyi-Kober fractional operator. Zbl 1422.65456 Płociniczak, Łukasz; Sobieszek, Szymon 5 2017 Diffusivity identification in a nonlinear time-fractional diffusion equation. Zbl 1344.35165 Płociniczak, Łukasz 7 2016 Analytical studies of a time-fractional porous medium equation. Derivation, approximation and applications. Zbl 1440.76148 Płociniczak, Łukasz 29 2015 Nonlinear parameter identification in a corneal geometry model. Zbl 1326.65153 Płociniczak, Ł.; Okrasiński, W. 5 2015 Approximation of the Erdélyi-Kober operator with application to the time-fractional porous medium equation. Zbl 1309.26010 Płociniczak, Łukasz 31 2014 On a nonlinear boundary value problem modeling corneal shape. Zbl 1307.92129 Płociniczak, Łukasz; Okrasiński, Wojciech; Nieto, Juan J.; Domínguez, Oscar 8 2014 Eigenvalue asymptotics for a fractional boundary-value problem. Zbl 1334.34185 Płociniczak, Łukasz 4 2014 Approximate self-similar solutions to a nonlinear diffusion equation with time-fractional derivative. Zbl 1286.35060 Płociniczak, Łukasz; Okrasińska, Hanna 12 2013 A note on fractional Bessel equation and its asymptotics. Zbl 1312.34023 Okrasiński, Wojciech; Płociniczak, Łukasz 12 2013 Bessel function model of corneal topography. Zbl 1329.92058 Okrasiński, Wojciech; Płociniczak, Łukasz 10 2013 Regularization of an ill-posed problem in corneal topography. Zbl 1308.35326 Płociniczak, Ł.; Okrasiński, W. 9 2013 On asymptotics of some fractional differential equations. Zbl 1284.34011 Płociniczak, Łukasz 7 2013 A nonlinear mathematical model of the corneal shape. Zbl 1239.34004 Okrasiński, Wojciech; Płociniczak, Łukasz 21 2012 all cited Publications top 5 cited Publications all top 5 Cited by 232 Authors 26 Płociniczak, Łukasz 5 Corsato, Chiara 5 De Coster, Colette 5 Okrasińska-Płociniczak, Hanna 5 Okrasiński, Wojciech 5 Omari, Pierpaolo 5 Świtała, Mateusz 3 Fardi, Mojtaba 3 Hendy, Ahmed S. 2 Bira, Bibekananda 2 Buzzi, Claudio Aguinaldo 2 Carvalho, Yagor Romano 2 Chlebowicz, Agnieszka 2 Costa, Félix Silva 2 Cusimano, Nicole 2 de Oliveira, Edmundo Capelas 2 del Teso, Félix 2 Demir, Ali 2 Dubovskii, Pavel B. 2 Fëdorov, Vladimir Evgen’evich 2 Feng, Meiqiang 2 Gasull, Armengol 2 Gerardo-Giorda, Luca 2 He, Ji-Huan 2 Ho, Kwok-Pun 2 Hrizi, Mourad 2 Kassim, Mohammed Dahan 2 Mandal, Hemanta 2 Ozbilge, Ebru 2 Ozturk, Okkes 2 Pan, Hongjing 2 Řehák, Pavel 2 Rocha, Juan 2 Slepoi, Jeffrey A. 2 Tatar, Nasser-eddine 2 Zhang, Xuemei 1 Abbasi, Zahra 1 AbdelAty, Amr M. 1 Abdeljawad, Thabet 1 Abdo, Mohammed Salem 1 Ahmad, Bashir 1 Ahmed, Waleed Abd El Maguid 1 Akagi, Goro 1 Al-Homidan, Suliman S. 1 Al Masry, Zeina 1 Alassar, Rajai S. M. 1 Ali, Saeed M. 1 Alikhanov, Anatoliĭ Alievich 1 Amini, Ebrahim 1 Ansari, Alireza 1 Arioua, Yacine 1 Atanackovic, Teodor M. 1 Avazzadeh, Zakieh 1 Awotunde, Abeeb A. 1 Banaś, Józef 1 Barrera, Olga 1 Baş, Erdal 1 Bazgir, Hamed 1 Behta, Emma 1 Bengochea, Gabriel R. 1 Bensalah, Mohamed Oudi 1 Berardi, Marco 1 Bhujel, Manalisha 1 Bohaienko, Vsevolod O. 1 Boscaggin, Alberto 1 Bothe, Dieter 1 Bulavatskyĭ, Volodymyr M. 1 Chen, Chen 1 Chen, Guangrong 1 Chen, Li 1 Cheng, Hao 1 Coelho, Isabel 1 Colasuonno, Francesca 1 Darve, Eric 1 De Coninck, Joël 1 De Gregorio, Alessandro 1 Di, Huafei 1 Dominguez, Oscar 1 Emadifar, Homan 1 English, Lars Q. 1 Ercan, Ahu 1 Fan, Yu-Rong 1 Feng, Libo 1 Fernandez, Arran 1 Flora, Noemi 1 Fricke, Mathis 1 Garra, Roberto 1 Gaspar, Francisco José 1 Gazizov, Rafail Kav’evich 1 Geng, Lu-Lu 1 Ghanam, Ryad A. 1 Ghasemi, Mehdi 1 Ghazanfari, Bahman 1 Girardi, Giovanni 1 Goldsztein, Guillermo H. 1 Gu, Yanhua 1 Hadizadeh, Mahmoud 1 Hassine, Maatoug 1 Haubold, Hans Joachim 1 Hazarika, Bipan ...and 132 more Authors all top 5 Cited in 72 Serials 11 Communications in Nonlinear Science and Numerical Simulation 10 Fractional Calculus & Applied Analysis 8 Journal of Mathematical Analysis and Applications 8 Physica D 6 Applied Mathematics and Computation 4 Computers & Mathematics with Applications 4 Boundary Value Problems 3 Journal of Differential Equations 3 Applied Numerical Mathematics 3 Journal of Integral Equations and Applications 2 Mathematical Methods in the Applied Sciences 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 SIAM Journal on Numerical Analysis 2 Acta Mathematicae Applicatae Sinica. English Series 2 Applied Mathematics Letters 2 Numerical Algorithms 2 Soft Computing 2 Discrete Dynamics in Nature and Society 2 Nonlinear Analysis. Real World Applications 2 Discrete and Continuous Dynamical Systems. Series S 1 Computer Methods in Applied Mechanics and Engineering 1 Inverse Problems 1 Israel Journal of Mathematics 1 Journal of Mathematical Physics 1 Physica A 1 Journal of Geometry and Physics 1 Journal of Computational and Applied Mathematics 1 Numerical Functional Analysis and Optimization 1 Bulletin of the Korean Mathematical Society 1 Circuits, Systems, and Signal Processing 1 Computational Mechanics 1 Numerical Methods for Partial Differential Equations 1 Journal of Scientific Computing 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Communications in Partial Differential Equations 1 SIAM Journal on Applied Mathematics 1 Stochastic Processes and their Applications 1 Journal of Nonlinear Science 1 Cybernetics and Systems Analysis 1 SIAM Journal on Scientific Computing 1 Computational and Applied Mathematics 1 Journal of Inverse and Ill-Posed Problems 1 Integral Transforms and Special Functions 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Discrete and Continuous Dynamical Systems 1 Doklady Mathematics 1 Abstract and Applied Analysis 1 International Journal of Applied Mathematics and Computer Science 1 Applied Mathematics E-Notes 1 Journal of Applied Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Advanced Nonlinear Studies 1 Journal of Applied Mathematics and Computing 1 Hacettepe Journal of Mathematics and Statistics 1 Advances in Difference Equations 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Inverse Problems in Science and Engineering 1 Proyecciones 1 Banach Journal of Mathematical Analysis 1 Asian-European Journal of Mathematics 1 Journal of Pseudo-Differential Operators and Applications 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 TWMS Journal of Pure and Applied Mathematics 1 Advances in Nonlinear Analysis 1 Journal of Applied Nonlinear Dynamics 1 Journal of Function Spaces 1 JAMM. Journal of Advanced Mathematical Modeling 1 Computational Methods for Differential Equations 1 Modern Stochastics. Theory and Applications 1 International Journal of Applied and Computational Mathematics 1 Cogent Mathematics 1 Results in Applied Mathematics all top 5 Cited in 27 Fields 61 Partial differential equations (35-XX) 48 Ordinary differential equations (34-XX) 40 Numerical analysis (65-XX) 30 Real functions (26-XX) 19 Integral equations (45-XX) 17 Fluid mechanics (76-XX) 13 Operator theory (47-XX) 9 Biology and other natural sciences (92-XX) 7 Probability theory and stochastic processes (60-XX) 5 Difference and functional equations (39-XX) 4 Special functions (33-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Approximations and expansions (41-XX) 3 Integral transforms, operational calculus (44-XX) 3 Geophysics (86-XX) 2 General and overarching topics; collections (00-XX) 2 Statistics (62-XX) 2 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 2 Information and communication theory, circuits (94-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Citations by Year