Abstract
Bianchi type-I universe is analyzed in this article in the context of $f(R,T)$ gravity. We have solved the Einstein’s field equations for two classes of $f(R,T)$ gravity in presence of cosmological constant $\varLambda$ and quadratic equation of state (EoS) $p=\alpha\rho^{2}-\rho$ , where $\alpha\neq0$ is a constant. To obtained the solutions we have used the scale factor of the form $\mathcal{R}(t)=(t^{\beta}e^{t})^{\frac {1}{n}}$ and such type of scale factor produce time dependent deceleration parameter. Also we have studied some physical and kinematical properties of the models.
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