  We analyze statistically the energization of particles in a large scale
environment of strong turbulence that is fragmented into a large number of
distributed current filaments. The turbulent environment is generated through
strongly perturbed, 3D, resistive MHD simulations, and it emerges naturally
from the nonlinear evolution, without a specific reconnection geometry being
set up. Based on test-particle simulations, we estimate the transport
coefficients in energy space for use in the classical Fokker-Planck (FP)
equation, and we show that the latter fails to reproduce the simulation
results. The reason is that transport in energy space is highly anomalous
(strange), the particles perform Levy flights, and the energy distributions
show extended power-law tails. Newly then, we motivate the use and derive the
specific form of a fractional transport equation (FTE), we determine its
parameters and the order of the fractional derivatives from the simulation
data, and we show that the FTE is able to reproduce the high energy part of the
simulation data very well. The procedure for determining the FTE parameters
also makes clear that it is the analysis of the simulation data that allows to
make the decision whether a classical FP or a FTE is appropriate.
