The arXiv preprint (abs/2605.20214) examines three interacting fractional holographic dark energy (FHDE) models derived from fractional quantum mechanics entropy. Using combined SNIa, OHD, BAO, and CMB datasets, the authors constrain parameters and identify preference for interaction forms Q = γ H ρ_de and Q = β H ρ_m + γ H ρ_de. Phase-space analysis reveals only the latter form can trace the full cosmic history from matter domination through late-time acceleration, while statefinder diagnostics show deviation from ΛCDM yet convergence to a de Sitter fixed point. This preprint remains unpeer-reviewed. The analysis builds on DESI DR2 BAO measurements that tighten w0-wa constraints beyond prior releases, exposing how fractional DE avoids fine-tuning issues plaguing standard holographic models. Related work in Planck 2018 CMB papers and recent Hubble tension reviews (e.g., Verde et al. 2023) shows these models can ease the 4-6σ discrepancy by permitting mild dynamical evolution without phantom crossing. Limitations include dependence on specific interaction kernels and absence of full perturbation stability checks or direct comparison to f(R) or quintessence benchmarks. The standout interacting FHDE scenario thus supplies a testable dynamical alternative that future DESI and Euclid data can further discriminate.