5 citations · 6 across the 3 of their papers we have counts for
3 papers
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…
Time-fractional porous medium equation: Erdélyi-Kober integral equations, compactly supported solutions, and numerical methods
Belen López, Hanna Okrasińska-Płociniczak, Łukasz Płociniczak +1
The time-fractional porous medium equation is an important model of many hydrological, physical, and chemical flows. We study its self-similar solutions, which make up the profiles…
Second order scheme for self-similar solutions of a time-fractional porous medium equation on the half-line
Hanna Okrasińska-Płociniczak, Łukasz Płociniczak
Many physical, biological, and economical systems exhibit various memory effects due to which their present state depends on the history of the whole evolution. Combined with the n…