What is it about?
We derive the general properties of anomalous diffusion and non-exponential relaxation from the Fokker-Planck equation with the memory function related to the Prabhakar integral operator.
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Why is it important?
The operator is a generalization of the Riemann-Liouville fractional integral and permits one to study transient anomalous diffusion processes with two-scale features.
Perspectives
The temporal behavior of such phenomena exhibits changes in time scaling exponents of the mean-squared displacement through time domain—a more general picture of the anomalous diffusion observed in nature.
Aleksander Weron
Politechnika Wroclawska
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This page is a summary of: Transient anomalous diffusion with Prabhakar-type memory, The Journal of Chemical Physics, July 2018, American Institute of Physics,
DOI: 10.1063/1.5042075.
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