We consider the d=1 nonlinear Fokker-Planck-like equation with fractional
derivatives ātāāP(x,t)=DāxĪ³āĪ³ā[P(x,t)]Ī½. Exact
time-dependent solutions are found for Ī½=1+Ī³2āĪ³ā
(āā<Ī³ā¤2). By considering the long-distance {\it asymptotic}
behavior of these solutions, a connection is established, namely
q=Ī³+1Ī³+3ā (0<Ī³ā¤2), with the solutions optimizing
the nonextensive entropy characterized by index q . Interestingly enough,
this relation coincides with the one already known for L\'evy-like
superdiffusion (i.e., Ī½=1 and 0<Ī³ā¤2). Finally, for
(Ī³,Ī½)=(2,0) we obtain q=5/3 which differs from the value q=2
corresponding to the Ī³=2 solutions available in the literature (Ī½<1
porous medium equation), thus exhibiting nonuniform convergence.Comment: 3 figure