Chaos, fractional kinetics, and anomalous transport

By George Zaslavsky. 2002

1,459 citations recorded by the source corpus.

Subfields: Modeling and Simulation, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/dd4164b2dff46cb997266bb7ef0b4057b7a06755

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In Modeling and Simulation

In Statistical and Nonlinear Physics

Citations in the corpus

Hamiltonian formulation of systems with linear velocities within Riemann–Liouville fractional derivatives (2005, methodology): “Fractional derivatives were applied in recent studies of scaling phenomena [ 10-12 ].”
Threefold Introduction to Fractional Derivatives (2008, background): “1] There exist several versions of diffusion equations with fractional time derivatives, and they differ physically or mathematically from each other [54, 82, 104, 127, 130].”
Review of Some Promising Fractional Physical Models (2013, background): “ anomalous diﬀusion such that we have the superdiﬀusion for 1 < α < 2, and subdiﬀusion for 0 < α < 1. A more detailed description of these eﬀects and phenomena can be found in the reviews [34, 35]. 3.2 Viscoelastic material If the force is immediately relaxed, then the deformation disapp”
Least squares finite-element solution of a fractional order two-point boundary value problem (2004, background): “that the mean waiting time between two successive jump events is finite and/or the assumption that the variance of the jump length probability density is finite [ 2-5 ].”
Thermoelasticity that uses fractional heat conduction equation (2009, background): “Space, time, and space-time fractional heat (or diffusion) equations are useful as a mathematical model of many diverse physical phenomena, including amorphous, colloid, glassy, and porous materials, fractals, percolation clusters, random and disordered media, comb structures, dielectrics and semico”