  We present a toy model for extending the Friedmann equations of relativistic
cosmology using fractional derivatives. We do this by replacing the integer
derivatives, in a few well-known cosmological results with fractional
derivatives leaving their order as a free parameter. All this with the
intention to explain the current observed acceleration of the Universe. We
apply the Last Step Modification technique of fractional calculus to construct
some useful fractional equations of cosmology. The fits of the unknown
fractional derivative order and the fractional cosmographic parameters to SN Ia
data shows that this simple construction can explain the current accelerated
expansion of the Universe without the use of a dark energy component with a
MOND-like behaviour using Milgrom's acceleration constant which sheds light
into to the non-necessity of a dark matter component as well.
