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math.NA2025
Barenblatt solutions for the time-fractional porous medium equation: approach via integral equations
Josefa Caballero, Hanna Okrasińska-Płociniczak, Łukasz Płociniczak +1
This paper explores Barenblatt solutions of the time-fractional porous medium equation, characterized by a Caputo-type time derivative. Employing an integral equation approach, we…
math.NA2022
Numerical scheme for Erdélyi-Kober fractional diffusion equation using Galerkin-Hermite method
Łukasz Płociniczak, Mateusz Świtała
The aim of this work is to devise and analyse an accurate numerical scheme to solve Erdélyi-Kober fractional diffusion equation. This solution can be thought as the marginal pdf of…