Extending Friedmann Equations Using Fractional Derivatives Using a Last Step Modification Technique: The Case of a Matter Dominated Accelerated Expanding Universe

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