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In this research, we have derived the solution of the field equations of the scalar-tensor theory of gravitation, proposed by Saez and Ballester(Phys. Lett. A113, 467:1986) within the frame-work of Bianchi type-III Universe. We have analyzed the interacting and non-interacting anisotropic Barrow Holographic Dark Energy (BHDE) models by assuming the time dependent deceleration parameter q(t). Further, we have discussed the several cosmological parameters such as energy densities of pressureless dark matter and BHDE, skewness, deceleration, equation of state parameters, ωBH-ω'BH plane and stability of the both interacting and non-interacting models. Also, we have observed that in our non-interacting and interacting models deceleration and equation of state parameters support the recent observational data.
Sobhanbabu et al. (Sat,) studied this question.
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