Observational Constraints and Cosmological Dynamics of Interacting Fractional Holographic Dark Energy in Light of DESI DR2

TL;DR

This paper investigates interacting fractional holographic dark energy models using recent observational data, identifying a specific interaction form that aligns with the universe's full evolutionary history and late-time acceleration.

Contribution

It introduces and analyzes three interacting FHDE models, highlighting the model with combined matter and dark energy interaction as the most consistent with observations.

Findings

The interaction form Q=βHρm+γHρde best fits observational data.

Only the model with combined interaction describes the universe's full evolution.

The favored model explains late-time cosmic acceleration.

Abstract

Based on the fractional entropy originating from fractional quantum mechanics, the fractional holographic dark energy (FHDE) model has been proposed. In this paper, we consider an interaction between the pressureless matter and FHDE and analyze three different interacting FHDE models. Combining the latest observational data including SNIa, OHD, BAO, and CMB, we estimate the model parameters and find that the interaction forms $Q=\gamma H \rho_{de}$ and $Q=\beta H \rho_{m}+\gamma H \rho_{de}$ show some preference from the observational data. Using phase space analysis, we further find that only interacting FHDE model with $Q=\beta H \rho_{m}+\gamma H \rho_{de}$ can describe the full evolutionary history of the universe. The statefinder diagnostic pair reveals that this model deviates from the $\Lambda$CDM model but converges to the $\Lambda$CDM fixed point and the de Sitter expansion fixed point in the future. Finally, we analyze the evolution of cosmological parameters and demonstrate that this model can drive the late time acceleration of the universe.