Observational data reveals that interacting fractional holographic dark energy models affect cosmological parameters, indicating potential for universe acceleration.
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=γHρde and Q=βHρm+γHρde show some preference from the observational data. Using phase space analysis, we further find that only interacting FHDE model with Q=βHρm+γHρde can describe the full evolutionary history of the universe. The statefinder diagnostic pair reveals that this model deviates from the ΛCDM model but converges to the ΛCDM 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.
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Huang et al. (2026) studied this question.
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