131 citations · 571 across the 40 of their papers we have counts for
4 papers · 1 filter
Theory of relativistic heat polynomials and one-sided Lévy distributions
G. Dattoli, K. Górska, A. Horzela +2
The theory of pseudo-differential operators is a powerful tool to deal with differential equations involving differential operators under the square root sign. These type of equati…
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…
Relativistic Heat Equation via Lévy stable distributions: Exact Solutions
K. A. Penson, K. Górska, A. Horzela +1
We introduce and study an extension of the heat equation relevant to relativistic energy formula involving square root of differential operators. We furnish exact solutions of corr…
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…