Dynamic minimally interacting holographic dark energy cosmological model in f(T) gravity

We have investigated the dynamics of Spatially Homogeneous Bianchi type-I (LRS) space-time filled with two minimally interacting fields, Matter and Holographic dark energy components with volumetric power and exponential expansion laws towards the gravitational field equations for the linear form of f(T) gravity. The aspects of space-time discussed with the help of solution and made out both models are at late times turn out to be flat Universe. The power law model has initially singular and stable but with expansion it is unstable while exponential model is free from any types of singularities and stable throughout the expansion. In the same way the models showing an accelerated expansion with inflationary era in the early and the very late time of the Universe. For sufficiently large time derived model predicts that the anisotropy of the Universe will damp out and the Universe will become isotropic.