Bianchi type- V Cosmological modelsin the presence of a bulk viscous fluid based on Lyra geometry in F(R, T) theory of gravity

In this paper an attempt is made to investigate the exact solution of Bianchi type- V Cosmological models in the framework of f(R,T) specifically considering the form F(R,T)=R+2f(T) and f(T) = ???? T where ???? is a constant . This modified theory of gravity introduces a coupling between the Ricci scalar R and the trace of the energy-momentum tensor T, potentially offering new insights into the dynamics of the early universe. We derive the field equations for the Bianchi Type V metric and explore exact solutions under specific assumptions. The physical and geometrical properties of the models, including the behavior of the scale factors, Hubble parameter, deceleration parameter, and energy conditions, are analyzed. We find that the models exhibit a variety of cosmological behaviors, including inflationary and decelerating phases, depending on the choice of initial conditions and model parameters. Our results demonstrate the potential of F(R,T) gravity to provide alternative explanations for the observed accelerated expansion of the universe. The physical and geometrical behaviors of such models have been discussed