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reviewer cc MSC code ut uncontrolled term Some applications of
fractional equations. (English) Zbl 1041.35073  The authors deal
with the application of fractional equations in physics. They
consider the kinetic equation with fractional derivatives
P(x,t) t ' = 2 P x '2 +ε α P |x ' | α ,1<α<2,(1)  where ε is a
constant, and α P |x ' | α is the Riesz derivatives. The authors
study the competition between normal diffusion and diffusion
induced by fractional derivatives for (1). It is shown that for
large times the fractional derivative term dominates the
solution and leads to power type tails. Moreover a corresponding
fractional generalization of the Ginzburg-Landau and nonlinear
Schrödinger equations is p