Linearly Interacting Barrow Holographic Dark Energy in Modified Cosmology

We study the Barrow holographic dark energy (BHDE) model using the apparent horizon as the infrared (IR) cut-off and ensuring thermodynamic consistency. However, the results show that the BHDE model without any interaction does not yield the accelerated expansion of the universe. Including a linear interaction solves the acceleration and dark energy equation of state parameter problems.