131 citations · 571 across the 40 of their papers we have counts for
8 papers · 1 filter
Anomalous and ultraslow diffusion of a particle driven by power-law-correlated and distributed-order noises
Z. Tomovski, K. Gorska, T. Pietrzak +2
We study the generalized Langevin equation approach to anomalous diffusion for a harmonic oscillator and a free particle driven by different forms of internal noises, such as power…
General approach to stochastic resetting
R. K. Singh, K. Gorska, T. Sandev
We address the effect of stochastic resetting on diffusion and subdiffusion process. For diffusion we find that MSD relaxes to a constant only when the distribution of reset times…
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…
Operator solutions for fractional Fokker-Planck equations
K. Gorska, K. A. Penson, D. Babusci +2
We obtain exact results for fractional equations of Fokker-Planck type using evolution operator method. We employ exact forms of one-sided Levy stable distributions to generate a s…
Levy stable two-sided distributions: exact and explicit densities for asymmetric case
K. Gorska, K. A. Penson
We study the one-dimensional Levy stable density distributions g(alpha, beta; x) for -infty < x < infty, for rational values of index alpha and the asymmetry parameter beta: alpha…
Exact and explicit probability densities for one-sided Levy stable distributions
K. A. Penson, K. Gorska
We study functions g_α(x) which are one-sided, heavy-tailed Levy stable probability distributions of index α, 0< α<1, of fundamental importance in random systems, for anomalous dif…