Dark Energy Nature in Logarithmic $f(R,T)$ Cosmology

The present research paper is an investigation of dark energy nature of logarithmic $f(R,T)$-gravity cosmology in a flat FLRW space-time universe. We have derived modified Einstein’s field equations for the function $f(R,T)=R-16\pi G\alpha \ln (T)$ where $R$ is the Ricci scalar curvature, $T$ is the trace of the stress energy momentum tensor and $\alpha$ is a model parameter. We have solved field equations in the form of two fluid scenario as perfect-fluid and dark-fluid, where dark fluid term is derived in the form of perfect fluid source. We have made an observational constraints on the cosmological parameters ${\mathrm{\Omega }}_{(m)},{\omega }^{(de)}$ and $H_0$ using ${\chi }^2$ test with observational datasets like Pantheon sample of SNe Ia and $H(z)$. With these constraints we have discussed our model with deceleration parameter $q$, energy parameters ${\mathrm{\Omega }}_{(m)},{\mathrm{\Omega }}_{(de)}$, EoS parameter ${\omega }^{(de)}$ etc. Also, we have done Om diagnostic analysis. The derived $f(R,T)$ model shows a quintessence dark energy model ${\omega }^{(de)}>-1$ and late-time universe approaches to $\mathrm{\Lambda }$CDM model.