Fractional Holographic Dark Energy

TL;DR

This paper introduces Fractional Holographic Dark Energy (FHDE), a novel model incorporating fractional calculus into holographic dark energy theories, providing a new approach to understanding late-time cosmology.

Contribution

The work develops a new FHDE model using fractional calculus, extending conventional HDE frameworks and demonstrating its consistency with late-time universe evolution.

Findings

FHDE can describe late-time cosmic acceleration.

The model alleviates issues of conventional HDE.

Cosmological parameters fit observational data.

Abstract

Holographic dark energy theories present a fascinating interface to probe late-time cosmology, as guided by contemporary ideas about quantum gravity. In this work, we present a new holographic dark energy scenario designated Fractional Holographic Dark Energy (FHDE). This model extends the conventional framework of HDEs by incorporating specific features from fractional calculus recently applied, e.g., in cosmological settings. In this manner, we retrieve a novel form of HDE energy density. We then show how FHDE can provide a consistent picture of the evolution of the late-time universe even with the simple choice of the Hubble horizon as the IR (infrared) cutoff. We provide detailed descriptions of the cosmological evolution, showing how the fractional calculus ingredients can alleviate quite a few issues associated with the conventional HDE scenario. Concretely, we compute and plot diagrams using the Hubble horizon cutoff for HDE. The density parameters for DE and dark matter (DM), the deceleration parameter, and the DE EoS parameter indicate how the universe may evolve within our FHDE model, fitting within an appropriate scenario of late-time cosmology.