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In this work, we propose a new dark energy (DE) model by applying the Barrow entropy and the holographic principle, with a time scale as IR cut-off. Analyzing the conformal time as well as universe’s age as infrared cut-offs, we explore the cosmological importance of the suggested DE models and examine the universe evolution filled with the proposed DE applicants and a pressure-less matter. We observe that the equation of state, deceleration, the density parameters can present adequate nature, and these models may also explain the late-time acceleration though the proposed models are unstable except for some values of Barrow exponent [Formula: see text]. Furthermore, we mention the consequences of the presence of interaction among the universe sectors.

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This research study investigates Barrow holographic dark energy with an energy density of ρΛ=CH2−Δ by considering the Hubble horizon as the IR cut-off in the f(R, T) gravity framework. We employ Barrow holographic dark energy to obtain the equation of the state for the Barrow holographic energy density in a flat FLRW Universe. Concretely, we study the correspondence between quintessence, k-essence, and dilation scalar field models with the Barrow holographic dark energy in a flat f(R, T) Universe. Furthermore, we reconstruct the dynamics and potential for all these models for different values of the Barrow parameter: Δ. Via this study, we can show that for Barrow holographic quintessence, k-essence, and dilation scalar field models, if the corresponding model parameters satisfy some limitations, the accelerated expansion can be achieved.

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