52 citations · 453 across the 42 of their papers we have counts for
5 papers · 1 filter
Non-Debye relaxations: smeared time evolution, memory effects, and the Laplace exponents
K. Górska, A. Horzela, T. K. Pogány
The non-Debye, \textit{i.e.,} non-exponential, behavior characterizes a large plethora of dielectric relaxation phenomena. Attempts to find their theoretical explanation are domina…
The generalized Cattaneo (telegrapher's) equation and corresponding random walks
K. Górska, A. Horzela, E. K. Lenzi +2
The various types of generalized Cattaneo, called also telegrapher's equation, are studied. We find conditions under which solutions of the equations considered so far can be recog…
The Havriliak-Negami relaxation and its relatives: the response, relaxation and probability density functions
K. Górska, A. Horzela, Ł. Bratek +2
We study functions related to the experimentally observed Havriliak-Negami dielectric relaxation pattern in the frequency domain with being some…
The stretched exponential behavior and its underlying dynamics. The phenomenological approach
K. Górska, A. Horzela, K. A. Penson +2
We show that the anomalous diffusion equations with a fractional derivative in the Caputo or Riesz sense are strictly related to the special convolution properties of the Lévy stab…
The Higher-Order Heat-Type Equations via signed Lévy stable and generalized Airy functions
K. Gorska, A. Horzela, K. A. Penson +1
We study the higher-order heat-type equation with first time and M-th spatial partial derivatives, M = 2, 3, ... . We demonstrate that its exact solutions for M even can be constru…