Abstract
This study investigates the Kaniadakis holographic dark energy (KHDE) model under the [Formula: see text] theory of gravity within the framework of the Bianchi I model of the universe. The dynamic evolution of the universe is analyzed using redshift and statefinder parameters. The Hubble parameter is applied as an auxiliary equation in solving the field equations, and the anisotropic properties of the model are discussed in detail. The physical validity of the solution is examined in greater detail through energy conditions. The results reveal the evolutionary properties of KHDE under the [Formula: see text] theory and the dynamic-anisotropic behavior of the universe.

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