June 2001 - 010601
Fractional Calculus Modelling: recent papers by A.V. Chechkin and V.Vu. Gonchar

Aleksei Chechkin and Vsevolod Gonchar
Institute for Theoretical Physics
National Science Center "Kharkov Institute of Physics and Technology"
Akademicheskaya st.1
61108 Kharkov, Ukraine

E-mail: achechkin@kipt.kharkov.ua

A. V. Chechkin, V. Yu. Gonchar, R. Gorenflo, F. Mainardi, L. V. Tanatarov,
Non-Boltzmann Equilibrium Probability Densities for Non-Linear Levy Oscillator.
Preprint lanl/gov cond-mat/0012155 (submitted to Physica A).

A. V. Chechkin and V. Yu. Gonchar,
Levy Motion and Dynamics of Exchange Rates.
Rep. Nat. Acad. Sci. Ukraine, accepted.

A. V. Chechkin and V. Yu. Gonchar,
Two-dimensional Force - Free Relaxation and Superdiffusion Governed by Fractional Kinetic Equations.
Open Systems & Information Dynamics, vol. 7 (2001).

A. V. Chechkin and V. Yu. Gonchar,
Approximation to Fractional Brownian Motion Based on Fractional Integration of a White Noise.
Preprint lanl/gov cond-mat 9902209. - 9 p.
Chaos, Solitons & Fractals, Vol.12, No.2, 391-398 (2001).

A. V. Chechkin and V. Yu. Gonchar,
Self - and spurious multi-affinity of ordinary Levy motion, and pseudo - Gaussian relations.
Preprint lanl/gov cond-mat 9907234.
Chaos, Solitons & Fractals, Vol 11, No 14, 2379-2390 (2000).

A. V. Chechkin and V. Yu. Gonchar, A Model for Persistent Levy Motion.
Preprint lanl/gov cond-mat 9903400. - 14 p.
Physica A, Vol. 277, Nos. 3-4, pp. 312-326 (2000).

A. V. Chechkin and V. Yu. Gonchar,
Fractional Kinetic Equations for Superdiffusion.
Ukrainian Journ. Phys., Vol.45, No.12, 712 - 717 (2000).

V. V. Yanovsky, A. V. Chechkin, D. Schertzer, A. V. Tour,
Levy Anomalous Diffusion and Fractional Fokker - Planck Equation.
Preprint lanl/gov nlin.CD/0001035.
Physica A, Vol. 282, Nos. 1-2, 13-34 (2000).

A. V. Chechkin and V. Yu. Gonchar,
Linear Relaxation Processes Governed by Fractional Symmetric Kinetic Equations,
Preprint lanl/gov cond-mat 9910091.
Journ. Eksper. Theor. Phys., Vol. 118, No. 3(9), 730-748 (2000).

A. V. Chechkin and V. Yu. Gonchar,
A Model for Ordinary Levy Motion.
Preprint lanl/gov cond-mat 9901064. - 8 p.