Fractional diffusion: probability distributions and random walk models

[1]  R. Gorenflo,et al.  Discrete random walk models for space-time fractional diffusion , 2002, cond-mat/0702072.

[2]  R. Gorenflo,et al.  Time Fractional Diffusion: A Discrete Random Walk Approach , 2002 .

[3]  Francesco Mainardi,et al.  Fractional Calculus: Some Basic Problems in Continuum and Statistical Mechanics , 2012, 1201.0863.

[4]  Francesco Mainardi,et al.  The fractional Fick's law for non-local transport processes , 2001 .

[5]  J. Klafter,et al.  The random walk's guide to anomalous diffusion: a fractional dynamics approach , 2000 .

[6]  R. Hilfer.  Applications Of Fractional Calculus In Physics , 2000 .

[7]  R. Hilfer.  FRACTIONAL TIME EVOLUTION , 2000 .

[8]  V. Zolotarev,et al.  Chance and Stability, Stable Distributions and Their Applications , 1999 .

[9]  Francesco Mainardi,et al.  Approximation of Levy-Feller Diffusion by Random Walk , 1999 .

[10]  H Germany,et al.  Discrete random walk models for symmetric Lévy–Feller diffusion processes , 1999, cond-mat/9903264.

[11]  I. Podlubny.  Fractional differential equations , 1998 .

[12]  Alexander I. Saichev,et al.  Fractional kinetic equations: solutions and applications. , 1997, Chaos.

[13]  Bruce J. West,et al.  FRACTIONAL DIFFUSION AND LEVY STABLE PROCESSES , 1997 .

[14]  F. Mainardi.  Fractional Relaxation-Oscillation and Fractional Diffusion-Wave Phenomena , 1996 .

[15]  Constantino Tsallis,et al.  Derivation of Lévy-type anomalous superdiffusion from generalized statistical mechanics , 1995 .

[16]  R. Metzler,et al.  Fractional model equation for anomalous diffusion , 1994 .

[17]  O. Marichev,et al.  Fractional Integrals and Derivatives: Theory and Applications , 1993 .

[18]  Massimiliano Giona,et al.  Fractional diffusion equation for transport phenomena in random media , 1992 .

[19]  Bruce J. West,et al.  Linear systems with Lévy fluctuations , 1982 .

[20]  W. Feller.  An Introduction to Probability Theory and Its Applications , 1959 .

[21]  Feller William,et al.  An Introduction To Probability Theory And Its Applications , 1950 .