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Fractional kinetic equations of the di!usion, di!usion}advection, and Fokker}Planck type are presented as a useful approach for the description of transport dynamics in complex systems which areâ€¦ (More)

Fractional dynamics has experienced a firm upswing during the last years, having been forged into a mature framework in the theory of stochastic processes. A large number of research papersâ€¦ (More)

- Joseph Klafter, Igor M. Sokolov
- VALUETOOLS
- 2006

We discuss the response of continuous-time random walks to an oscillating external field within the generalized master equation approach. We concentrate on the time dependence of the two firstâ€¦ (More)

- Aleksei V. Chechkin, Joseph Klafter, Vsevolod Yu Gonchar, Ralf Metzler, Leonid V Tanatarov
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2003

We investigate the statistical behavior of LÃ©vy flights confined in a symmetric, quartic potential well U(x) proportional, variant x(4). At stationarity, the probability density function features aâ€¦ (More)

The continuous time random walk ~CTRW! in a homogeneous velocity field and in arbitrary force fields is studied. Within the extended CTRW scheme, anomalous transport properties due to long-tailedâ€¦ (More)

- Michael F. Shlesinger, George M. Zaslavsky, Joseph Klafter
- Nature
- 1993

The once abstract notions of fractal space and time now appear naturally and inevitably in chaotic dynamical systems and lead to 'strange kinetics' and anomalous transport properties. Anâ€¦ (More)

Tribology is the study of adhesion, friction, lubrication and wear of surfaces in relative motion. It remains as important today as it was in ancient times, arising in the fields of physics,â€¦ (More)

- Yasmine Meroz, I. M. Sokolov, Joseph Klafter
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2010

Single particle trajectories are investigated assuming the coexistence of two subdiffusive processes: diffusion on a fractal structure modeling spatial constraints on motion and heavy-tailedâ€¦ (More)

How long does it take a random walker to reach a given target point? This quantity, known as a first-passage time (FPT), has led to a growing number of theoretical investigations over the pastâ€¦ (More)

- Iddo Eliazar, Joseph Klafter
- Physical review letters
- 2009

A universal mechanism for the generation of statistical self-similarity-i.e., fractality in the context of random processes-is established. We consider a generic system which superimposes independentâ€¦ (More)