52 citations · 112 across the 6 of their papers we have counts for
7 papers
Non-Debye relaxations: The characteristic exponent in the excess wings model
K. Górska, A. Horzela, T. K. Pogány
The characteristic (Laplace or Lévy) exponents uniquely characterize infinitely divisible probability distributions. Although of purely mathematical origin they appear to be unique…
Integral decomposition for the solutions of the generalized Cattaneo equation
K. Górska
We present the integral decomposition for the fundamental solution of the generalized Cattaneo equation with both time derivatives smeared through convoluting them with some memory…
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…
Non-Debye relaxations: two types of memories and their Stieltjes character
K. Górska, A. Horzela
We show that spectral functions relevant for commonly used models of the non-Debye relaxation are related to the Stieltjes functions supported on the positive semiaxis. Using only…
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…
A note on paper "Anomalous relaxation model based on the fractional derivative with a Prabhakarlike kernel" [Z. Angew. Math. Phys. (2019) 70:42]
K. Górska, A. Horzela, T. K. Pogány
Inspired by the article "Anomalous relaxation model based on the fractional derivative with a Prabhakar-like kernel" (Z. Angew. Math. Phys. (2019) 70:42) which authors D. Zhao and…