  In this work we shall explore the effects of non commutativity in fractional
classical and quantum schemes using the flat Friedmmann-Robertson-Walker (FRW)
cosmological model coupled to a scalar field in the K-essence formalism. In
previous work we have obtained the commutative solutions in both regimes into
the fractional framework. Here we introduce noncommutative variables,
considering that all minisuperspace variables $\rm q^i_{nc}$ do not commute, so
the symplectic structure was modified. In the quantum regime, the probability
density presents new structure in the scalar field corresponding to the value
of the non-commutative parameter, in the sense that this probability density
undergoes a shift back to the direction of the scale factor, causing classical
evolution to arise earlier than in the commutative world.
