  Asymptotically Safe theories of gravity have recently received much
attention. In this work we discuss a class of inflationary models derived from
quantum-gravity modification of quadratic gravity according to the induced
scaling around the non-Gaussian fixed point at very high energies. It is argued
that the presence of a three dimensional ultraviolet critical surface generates
operators of non-integer power of the type $R^{2-\theta/2}$ in the effective
Lagrangian, where $\theta>0$ is a critical exponent. The requirement of a
successful inflationary model in agreement with the recent Planck 2015 data
puts important constraints on the strenght of this new type of couplings.
