Fractional Action Cosmology with Power Law Weight Function
  Motivated by an earlier work on fractional-action cosmology with a periodic weight function [1], we extend it by choosing a power-law weight function in the action. In this approach, we obtain a varying gravitational coupling constant. We then model dark energy in this paradigm and obtain relevant cosmological parameters. 
Mubasher Jamil, Muneer A. Rashid, D. Momeni, O. Razina, Kuralay   Esmakhanova
physics.gen-ph gr-qc