Cosmic acceleration in an anisotropic background with bulk viscosity in the presence of constant declaration parameter

In this paper, we analyze a cosmological situation proposing a variation law in which a simple linear function of Hubble’s parameter that is the deceleration parameter provides the scale factor a as a = e 1 β 2 β t + k (where β, k are constants). We got the cosmological models in which the Universe begins from a non-solitary state and grows exponentially with infinite time t till late occasions. The deceleration parameter in the model is observed to be time subordinate. The deceleration parameter in the model is found to be time dependent. It is seen that this parameter shows the development from initial decelerating period to the present accelerating period of expansion. The deceleration parameter supplies the biggest value and the fastest rate at which the universe is expanding. The cosmological term ∧ approaches to zero when t approaches to infinite.