412 citations
- Institute of Nuclear Physics, Polish Academy of SciencesPL211 papers
- National Centre for Nuclear ResearchPL171 papers
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- Joint Institute for Nuclear ResearchRU71 papers
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32 papers · 1 filter
Subdiffusion with particle immobilization process described by differential equation with Riemann--Liouville type fractional time derivative
Tadeusz Kosztołowicz
An equation describing subdiffusion with possible immobilization of particles is derived by means of the continuous time random walk model. The equation contains a fractional time…
Subdiffusion equation with fractional Caputo time derivative with respect to another function in modeling transition from ordinary subdiffusion to superdiffusion
Tadeusz Kosztołowicz
We use a subdiffusion equation with fractional Caputo time derivative with respect to another function (--subdiffusion equation) to describe a smooth transition from ordinar…
First passage time for --subdiffusion process of vanishing particles
Tadeusz Kosztołowicz
Subdiffusion equation and molecule survival equation, both with Caputo fractional time derivatives with respect to another functions and , respectively, are used to desc…
Stochastic foundations of -subdiffusion process
Tadeusz Kosztołowicz, Aldona Dutkiewicz
Recently, in the paper: T. Kosztołowicz and A. Dutkiewicz, Phys. Rev. E \textbf{104}, 014118 (2021) the --subdiffusion equation with fractional Caputo time derivative with respe…
Subdiffusion equation with Caputo fractional derivative with respect to another function in modelling diffusion in a complex system consisting of matrix and channels
Tadeusz Kosztołowicz, Aldona Dutkiewicz, Katarzyna D. Lewandowska +2
Diffusion equation with a fractional Caputo time derivative with respect to another function , which defines new time scale of the process, is applied to describe anomalous diff…
Beyond the relaxation time approximation
Grzegorz Wilk, Zbigniew Włodarczyk
The relaxation time approximation (RTA) is a well known method of describing the time evolution of a statistical ensemble by linking distributions of the variables of interest at d…