145 citations · 145 across the 1 of their papers we have counts for
4 papers
Distributed-Order Fractional Kinetics
I. M. Sokolov, A. V. Chechkin, J. Klafter
Fractional diffusion equations are widely used to describe anomalous diffusion processes where the characteristic displacement scales as a power of time. For processes lacking such…
Non-Boltzmann Equilibrium Probability Densities for Non-Linear Lévy Oscillator
A. Chechkin, V. Gonchar, R. Gorenflo +2
We study, both analytically and by numerical modeling the equilibrium probability density function for an non-linear Lévy oscillator with the Lévy index α, 1 \leq α\leq 2, and the…
Self - affinity of ordinary Levy motion, spurious multi - affinity and pseudo - Gaussian relations
A. V. Chechkin, V. Yu. Gonchar
The ordinary Levy motion is a random process whose stationary independent increments are statistically self-affine and distributed with a stable probability law characterized by th…
Fractional Brownian Motion Approximation Based on Fractional Integration of a White Noise
A. V. Chechkin, V. Yu. Gonchar
We study simple approximations to fractional Gaussian noise and fractional Brownian motion. The approximations are based on spectral properties of the noise. They allow one to cons…