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20142026
most citedThe generalized Cattaneo (telegrapher's) equation and corresponding random walks

52 citations · 129 across the 10 of their papers we have counts for

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math-ph2026

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…

math-ph2021★ 6 cited

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…

math-ph2019★ 9 cited

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…

math-ph2015★ 19 cited

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…

math-ph2015★ 5 cited

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…