Introduces Fractional Holographic Dark Energy (FHDE) via fractionally corrected entropy from a modified Wheeler-DeWitt equation and studies its late-time cosmology, field reconstructions, and extensions to modified gravity theories.
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In f(T) gravity with power-law and exponential models, a fiber inflation potential with ultra slow-roll phase amplifies the primordial curvature power spectrum on small scales to enable primordial black hole formation consistent with CMB constraints.