| Analytical studies of a time-fractional porous medium equation. Derivation, approximation and applications Ł Płociniczak Communications in Nonlinear Science and Numerical Simulation 24 (1-3), 169-183, 2015 | 73 | 2015 |
| Approximation of the Erdélyi--Kober operator with application to the time-fractional Porous medium equation Ł Płociniczak SIAM journal on applied mathematics 74 (4), 1219-1237, 2014 | 54 | 2014 |
| Analytical model of the optical vortex microscope Ł Płocinniczak, A Popiołek-Masajada, J Masajada, M Szatkowski Applied optics 55 (12), B20-B27, 2016 | 47 | 2016 |
| A nonlinear mathematical model of the corneal shape W Okrasiński, Ł Płociniczak Nonlinear Analysis: Real World Applications 13 (3), 1498-1505, 2012 | 46 | 2012 |
| Analysis of cornea curvature using radial basis functions–Part I: Methodology GW Griffiths, WE Schiesser Computers in biology and medicine 77, 274-284, 2016 | 30 | 2016 |
| Transformation of the vortex beam in the optical vortex scanning microscope Ł Płociniczak, A Popiołek-Masajada, M Szatkowski, D Wojnowski Optics & Laser Technology 81, 127-136, 2016 | 24 | 2016 |
| Bessel function model of corneal topography W Okrasiński, Ł Płociniczak Applied Mathematics and Computation 223, 436-443, 2013 | 22 | 2013 |
| A note on fractional Bessel equation and its asymptotics W Okrasiński, Ł Płociniczak Fractional Calculus and Applied Analysis 16, 559-572, 2013 | 22 | 2013 |
| On a nonlinear boundary value problem modeling corneal shape Ł Płociniczak, W Okrasiński, JJ Nieto, O Dominguez Journal of Mathematical Analysis and Applications 414 (1), 461-471, 2014 | 20 | 2014 |
| A weighted finite difference method for subdiffusive Black–Scholes model G Krzyżanowski, M Magdziarz, Ł Płociniczak Computers & Mathematics with Applications 80 (5), 653-670, 2020 | 19 | 2020 |
| Eigenvalue asymptotics for a fractional boundary-value problem Ł Płociniczak Applied Mathematics and Computation 241, 125-128, 2014 | 19 | 2014 |
| Numerical method for the time-fractional porous medium equation Ł Płociniczak SIAM Journal on Numerical Analysis 57 (2), 638–656, 2019 | 18 | 2019 |
| Approximate self-similar solutions to a nonlinear diffusion equation with time-fractional derivative Ł Płociniczak, H Okrasińska Physica D: Nonlinear Phenomena 261, 85-91, 2013 | 18 | 2013 |
| Existence and uniqueness results for a time-fractional nonlinear diffusion equation Ł Płociniczak, M Świtała Journal of mathematical analysis and applications 462 (2), 1425-1434, 2018 | 16 | 2018 |
| Off-axis vortex beam propagation through classical optical system in terms of Kummer confluent hypergeometric function I Augustyniak, W Lamperska, J Masajada, Ł Płociniczak, ... Photonics 7 (3), 60, 2020 | 13 | 2020 |
| Monotonicity, oscillations and stability of a solution to a nonlinear equation modelling the capillary rise Ł Płociniczak, M Świtała Physica D: Nonlinear Phenomena 362, 1-8, 2018 | 13 | 2018 |
| Derivation of the nonlocal pressure form of the fractional porous medium equation in the hydrological setting Ł Płociniczak Communications in Nonlinear Science and Numerical Simulation 76, 66-70, 2019 | 12 | 2019 |
| Regularization of an ill-posed problem in corneal topography Ł Płociniczak, W Okrasiński Inverse Problems in Science and Engineering 21 (6), 1090-1097, 2013 | 12 | 2013 |
| Numerical schemes for integro-differential equations with Erdélyi-Kober fractional operator Ł Płociniczak, S Sobieszek Numerical Algorithms 76, 125-150, 2017 | 9 | 2017 |
| Nonlinear parameter identification in a corneal geometry model ᴌ Płociniczak, W Okrasiński Inverse Problems in Science and Engineering 23 (3), 443-456, 2015 | 9 | 2015 |
Mateusz ŚwitałaPhD, Eng, Wrocław University of Science and TechnologyVerified email at pwr.edu.pl
