52 citations · 129 across the 10 of their papers we have counts for
10 papers
Probability density functions as solutions of heterogeneous Cattaneo-Vernotte diffusion equation
K. Górska, Ž. Tomovski, A. Horzela +1
In this paper, we considered a heterogeneous Cattaneo-Vernotte equation with an exponential type of diffusion coefficient under the fundamental initial and boundary conditions stat…
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…
Relativistic Wave Equations: An Operational Approach
G. Dattoli, E. Sabia, K. Górska +2
The use of operator methods of algebraic nature is shown to be a very powerful tool to deal with different forms of relativistic wave equations. The methods provide either exact or…
Explicit representations for multiscale Lévy processes, and asymptotics of multifractal conservation laws
K. Górska, W. A. Woyczynski
Nonlinear conservation laws driven by Lévy processes have solutions which, in the case of supercritical nonlinearities, have an asymptotic behavior dictated by the solutions of the…
On the Laplace transform of the Fréchet distribution
K. A. Penson, K. Górska
We calculate exactly the Laplace transform of the Fréchet distribution in the form , , , for arbitrary rational values of the sh…