Abstract
In this paper, the Bianchi-V universe has been applied to the transitional universe. Exact solutions of Einstein’s modified field equations in the framework of Saez-Ballester theory are obtained with heat conduction and perfect fluid. We have applied the hybrid expansion law for the average scale factor $$a = k t^{\alpha }e^{\beta t}$$ , (where $$\alpha \ge 0$$ , $$k > 0$$ , and $$\beta \ge 0$$ are constants). This results into a new class of transit models from decelerating universe to the current accelerating universe. The present work also elucidates some of the physical, geometric and kinematic properties of the universe and found them in good agreement with recent observations.
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