Non-Debye relaxations: Smeared time evolution, memory effects, and the Laplace exponents

The Volterra type equations related to the non-Debye relaxation.

(2020) K. Górska et al.   Communications in Nonlinear Science and Numerical Simulation

A comment on a controversial issue: A generalized fractional derivative cannot have a regular kernel

(2020) Andrzej Hanyga   Fractional Calculus and Applied Analysis

A note on the article “Anomalous relaxation model based on the fractional derivative with a Prabhakar-like kernel” [Z. Angew. Math. Phys. (2019) 70: 42]

(2019) K. Górska et al.   ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK

The Havriliak–Negami relaxation and its relatives: the response, relaxation and probability density functions

(2018) K Górska et al.   Journal of Physics A-Mathematical and Theoretical

Generalized diffusion-wave equation with memory kernel

(2018) Trifce Sandev et al.   Journal of Physics A-Mathematical and Theoretical

Multifunctional Molecular Magnets: Magnetocaloric Effect in Octacyanometallates

(2018) Magdalena Fitta et al.   Crystals

Stochastic tools hidden behind the empirical dielectric relaxation laws

(2017) Aleksander Stanislavsky et al.   REPORTS ON PROGRESS IN PHYSICS

Anomalous diffusion approach to non-exponential relaxation in complex physical systems

(2015) Aleksander Stanislavsky et al.   Communications in Nonlinear Science and Numerical Simulation

Operator solutions for fractional Fokker-Planck equations

(2012) K. Górska et al.   PHYSICAL REVIEW E

General Fractional Calculus, Evolution Equations, and Renewal Processes

(2011) Anatoly N. Kochubei   INTEGRAL EQUATIONS AND OPERATOR THEORY

Anomalous diffusion with under- and overshooting subordination: A competition between the very large jumps in physical and operational times

(2010) Aleksander Stanislavsky et al.   PHYSICAL REVIEW E

Exact and Explicit Probability Densities for One-Sided Lévy Stable Distributions

(2010) K. A. Penson et al.   PHYSICAL REVIEW LETTERS