Bessel function model of corneal topography. - Wojciech Okrasinski; Lukasz Plociniczak (Appl. Math. Comput., 2013)

Eigenvalue asymptotics for a fractional boundary-value problem. - Lukasz Plociniczak (Appl. Math. Comput., 2014)

ODE/PDE analysis of corneal curvature. - Lukasz Plociniczak; Graham W. Griffiths; William E. Schiesser (Comput. Biol. Medicine, 2014)

Approximation of the Erdélyi-Kober Operator with Application to the Time-Fractional Porous Medium Equation. - Lukasz Plociniczak (SIAM J. Appl. Math., 2014)

Analytical studies of a time-fractional porous medium equation. Derivation, approximation and applications. - Lukasz Plociniczak (Commun. Nonlinear Sci. Numer. Simul., 2015)

Analysis of cornea curvature using radial basis functions - Part I: Methodology. - Graham W. Griffiths; Lukasz Plociniczak; William E. Schiesser (Comput. Biol. Medicine, 2016)

Analysis of cornea curvature using radial basis functions - Part II: Fitting to data-set. - Graham W. Griffiths; Lukasz Plociniczak; William E. Schiesser (Comput. Biol. Medicine, 2016)

Numerical schemes for integro-differential equations with Erdélyi-Kober fractional operator. - Lukasz Plociniczak; Szymon Sobieszek (Numer. Algorithms, 2017)

Quickest drift change detection in Lévy-type force of mortality model. - Michal Krawiec; Zbigniew Palmowski; Lukasz Plociniczak (Appl. Math. Comput., 2018)

Numerical method for Volterra equation with a power-type nonlinearity. - Hanna Okrasinska-Plociniczak; Lukasz Plociniczak (Appl. Math. Comput., 2018)

Derivation of the nonlocal pressure form of the fractional porous medium equation in the hydrological setting. - Lukasz Plociniczak (Commun. Nonlinear Sci. Numer. Simul., 2019)

Numerical Method for the Time-Fractional Porous Medium Equation. - Lukasz Plociniczak (SIAM J. Numer. Anal., 2019)

A weighted finite difference method for subdiffusive Black-Scholes model. - Grzegorz Krzyzanowski; Marcin Magdziarz; Lukasz Plociniczak (Comput. Math. Appl., 2020)

Asymptotic Solution of a Boundary Value Problem for a Spring-Mass Model of Legged Locomotion. - Hanna Okrasinska-Plociniczak; Lukasz Plociniczak (J. Nonlinear Sci., 2020)

Oscillatory behaviour analysis of a liquid rise in cylindrical capillaries. - Lukasz Plociniczak; Mateusz Switala (Commun. Nonlinear Sci. Numer. Simul., 2021)

Linear Galerkin-Legendre spectral scheme for a degenerate nonlinear and nonlocal parabolic equation arising in climatology. - Lukasz Plociniczak (CoRR, 2021)

A linear Galerkin numerical method for a strongly nonlinear subdiffusion equation. - Lukasz Plociniczak (CoRR, 2021)

Second order scheme for self-similar solutions of a time-fractional porous medium equation on the half-line. - Hanna Okrasinska-Plociniczak; Lukasz Plociniczak (Appl. Math. Comput., 2022)

Error of the Galerkin scheme for a semilinear subdiffusion equation with time-dependent coefficients and nonsmooth data. - Lukasz Plociniczak (Comput. Math. Appl., 2022)

On a discrete composition of the fractional integral and Caputo derivative. - Lukasz Plociniczak (Commun. Nonlinear Sci. Numer. Simul., 2022)

Numerical scheme for Erdélyi-Kober fractional diffusion equation using Galerkin-Hermite method. - Lukasz Plociniczak; Mateusz Switala (CoRR, 2022)

Numerical methods and regularity properties for viscosity solutions of nonlocal in space and time diffusion equations. - Félix del Teso; Lukasz Plociniczak (CoRR, 2023)

Existence and uniqueness of solutions in the Lipschitz space of a functional equation and its application to the behavior of the paradise fish. - Josefa Caballero; Lukasz Plociniczak; Kishin B. Sadarangani (Appl. Math. Comput., 2024)

Fully discrete Galerkin scheme for a semilinear subdiffusion equation with nonsmooth data and time-dependent coefficient. - Lukasz Plociniczak; Kacper Tazbierski (Comput. Math. Appl., 2024)

From Lévy walks to fractional material derivative: Pointwise representation and a numerical scheme. - Lukasz Plociniczak; Marek A. Teuerle (Commun. Nonlinear Sci. Numer. Simul., 2024)

Fractional material derivative: pointwise representation and a finite volume numerical scheme. - Lukasz Plociniczak; Marek A. Teuerle (CoRR, 2024)

Time-fractional porous medium equation: Erdélyi-Kober integral equations, compactly supported solutions, and numerical methods. - Belén López; Hanna Okrasinska-Plociniczak; Lukasz Plociniczak; Juan Rocha (Commun. Nonlinear Sci. Numer. Simul., 2024)

A note on the L1 discretization error for the Caputo derivative in Hölder spaces. - Félix del Teso; Lukasz Plociniczak (Appl. Math. Lett., 2025)

Collocation method for a functional equation arising in behavioral sciences. - Josefa Caballero; Hanna Okrasinska-Plociniczak; Lukasz Plociniczak; Kishin B. Sadarangani (J. Comput. Appl. Math., 2025)

Optimal Strategy for Trail Running with Nutrition and Fatigue Factors. - Bogna Jaszczak; Lukasz Plociniczak (SIAM J. Appl. Math., 2025)

Convolution Quadrature for the Quasilinear Subdiffusion Equation. - María López-Fernández; Lukasz Plociniczak (SIAM J. Numer. Anal., 2025)

Functional equation arising in behavioral sciences: solvability and collocation scheme in Hölder spaces. - Josefa Caballero; Hanna Okrasinska-Plociniczak; Lukasz Plociniczak; Kishin B. Sadarangani (CoRR, 2025)

Barenblatt solutions for the time-fractional porous medium equation: approach via integral equations. - Josefa Caballero; Hanna Okrasinska-Plociniczak; Lukasz Plociniczak; Kishin B. Sadarangani (CoRR, 2025)