### Bianchi Type-I Cosmological Model in Saez-Ballester Theory with Varying Cosmological Constant

#### Abstract

The standard *ΛCDM* model is very successful to explain the universe, yet there are so many problems that are not still resolved. One of them are the cosmological constant problem, certain anomaly in cosmic microwave background radiation and general relativity is valid on large scale. Therefore it is necessary to describe modified theories to solve these problems. In this paper, we have analyzed Bianchi type-I cosmological model in Saez-Ballester theory with varying cosmological constant. To solve field equations by using expansion anisotropy parameter (*σ*/*θ*) to be a suitable function of scale factor (*a*) and suitable supposition of varying form of variable cosmological term. To found the physical parameter such as Hubble parameter (*H*), deceleration parameter (*q*), energy density (*ρ*), pressure (*p*), and cosmological constant (*Λ*) in term of redshift (*z*). Also we discuss cosmographic parameter such as jerk parameter (*j*) which foreshow that the universe in this model approaches the Lambda Cold Dark Matter model at the late time. We have seen that the our model supporting with the recent cosmological observational data.