54 citations · 84 across the 7 of their papers we have counts for
7 papers
Subdiffusion equation with Cattaneo effect
Tadeusz Kosztołowicz, Aldona Dutkiewicz, Katarzyna D. Lewandowska
The ordinary subdiffusion equation, with a fractional time derivative of at most first order, describes a process in which the propagation velocity of diffusing molecules is unlimi…
Cattaneo--type subdiffusion equation
Tadeusz Kosztołowicz, Aldona Dutkiewicz, Katarzyna D. Lewandowska
The ordinary subdiffusion equation, with a fractional time derivative of at most first order, describes a process in which the propagation velocity of diffusing molecules is unlimi…
-subdiffusion equation that describes transient subdiffusion
Tadeusz Kosztołowicz, Aldona Dutkiewicz
A --subdiffusion equation with fractional Caputo time derivative with respect to another function is used to describe a process of a continuous transition from subdiffusion…
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…
Subdiffusion equation with Caputo fractional derivative with respect to another function
Tadeusz Kosztołowicz, Aldona Dutkiewicz
We show an application of a subdiffusion equation with Caputo fractional time derivative with respect to another function to describe subdiffusion in a medium having a structur…
Boundary conditions at a thin membrane for normal diffusion equation which generate subdiffusion
Tadeusz Kosztołowicz, Aldona Dutkiewicz
We consider a particle transport process in a one-dimensional system with a thin membrane, described by a normal diffusion equation. We consider two boundary conditions at the memb…