López, Belen; Okrasińska-Płociniczak, Hanna; Płociniczak, Łukasz; Rocha, Juan Time-fractional porous medium equation: Erdélyi-Kober integral equations, compactly supported solutions, and numerical methods. (English) Zbl 07784320 Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107692, 14 p. (2024). MSC: 34A08 65M12 76S05 PDFBibTeX XMLCite \textit{B. López} et al., Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107692, 14 p. (2024; Zbl 07784320) Full Text: DOI arXiv
Płociniczak, Łukasz; Świtała, Mateusz Numerical scheme for Erdélyi-Kober fractional diffusion equation using Galerkin-Hermite method. (English) Zbl 1503.65182 Fract. Calc. Appl. Anal. 25, No. 4, 1651-1687 (2022). MSC: 65M06 65M60 65R20 65M15 35R11 26A33 PDFBibTeX XMLCite \textit{Ł. Płociniczak} and \textit{M. Świtała}, Fract. Calc. Appl. Anal. 25, No. 4, 1651--1687 (2022; Zbl 1503.65182) Full Text: DOI arXiv
Płociniczak, Łukasz Derivation of the nonlocal pressure form of the fractional porous medium equation in the hydrological setting. (English) Zbl 1509.35357 Commun. Nonlinear Sci. Numer. Simul. 76, 66-70 (2019). MSC: 35R11 35K59 35R09 PDFBibTeX XMLCite \textit{Ł. Płociniczak}, Commun. Nonlinear Sci. Numer. Simul. 76, 66--70 (2019; Zbl 1509.35357) Full Text: DOI arXiv
Płociniczak, Łukasz Numerical method for the time-fractional porous medium equation. (English) Zbl 1409.76091 SIAM J. Numer. Anal. 57, No. 2, 638-656 (2019). Reviewer: Abdallah Bradji (Annaba) MSC: 76M20 76S05 35Q35 65R20 35R11 45G10 PDFBibTeX XMLCite \textit{Ł. Płociniczak}, SIAM J. Numer. Anal. 57, No. 2, 638--656 (2019; Zbl 1409.76091) Full Text: DOI arXiv
Płociniczak, Łukasz; Świtała, Mateusz Existence and uniqueness results for a time-fractional nonlinear diffusion equation. (English) Zbl 1386.35453 J. Math. Anal. Appl. 462, No. 2, 1425-1434 (2018). MSC: 35R11 35A01 35A02 35Q35 76S05 PDFBibTeX XMLCite \textit{Ł. Płociniczak} and \textit{M. Świtała}, J. Math. Anal. Appl. 462, No. 2, 1425--1434 (2018; Zbl 1386.35453) Full Text: DOI
Płociniczak, Łukasz; Sobieszek, Szymon Numerical schemes for integro-differential equations with Erdélyi-Kober fractional operator. (English) Zbl 1422.65456 Numer. Algorithms 76, No. 1, 125-150 (2017). Reviewer: Neville Ford (Chester) MSC: 65R20 45J05 34A08 34K37 PDFBibTeX XMLCite \textit{Ł. Płociniczak} and \textit{S. Sobieszek}, Numer. Algorithms 76, No. 1, 125--150 (2017; Zbl 1422.65456) Full Text: DOI
Płociniczak, Łukasz Diffusivity identification in a nonlinear time-fractional diffusion equation. (English) Zbl 1344.35165 Fract. Calc. Appl. Anal. 19, No. 4, 843-866 (2016). MSC: 35R11 35K57 35R30 PDFBibTeX XMLCite \textit{Ł. Płociniczak}, Fract. Calc. Appl. Anal. 19, No. 4, 843--866 (2016; Zbl 1344.35165) Full Text: DOI