  In this paper, we solve in the convergence set, the fractional logistic
equation making use of Euler's numbers. To our knowledge, the answer is still
an open question. The key point is that the coefficients can be connected with
Euler's numbers, and then they can be explicitly given. The constrained of our
approach is that the formula is not valid outside the convergence set,
  The idea of the proof consists to explore some analogies with logistic
function and Euler's numbers, and then to generalize them in the fractional
case.
