Fractional Action Cosmology with Power Law Weight Function

TL;DR

This paper explores a modified cosmological model using fractional action with a power-law weight function, leading to a varying gravitational constant and new insights into dark energy behavior.

Contribution

It introduces a novel fractional action cosmology framework with a power-law weight function, extending previous periodic models and deriving implications for dark energy and gravitational coupling.

Findings

Derived a varying gravitational constant over cosmic time

Modeled dark energy within the fractional action framework

Provided cosmological parameters consistent with observations

Abstract

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.