Dark energy nature in logarithmic f(R,T) cosmology

The present research paper is an investigation of dark energy nature logarithmic $f(R, T)$-gravity cosmology in a flat FLRW space-time universe. We have derived modified Einstein's field equations for the function T)=R-16\pi G\alpha\ln(T)$ where $R$ Ricci scalar curvature, $T$ trace stress momentum tensor and $\alpha$ model parameter. solved form two fluid scenario as perfect-fluid dark-fluid, term perfect source. made observational constraints on cosmological parameters $\Omega_{(m)}, \omega^{(de)}$ $H_{0}$ using $\chi^{2}$ test with datasets like Pantheon sample SNe Ia $H(z)$. With these we discussed our deceleration parameter $q$, \Omega_{(de)}$, EoS $\omega^{(de)}$ etc. Also, done Om diagnostic analysis. T)$ shows quintessence $\omega^{(de)}>-1$ late-time universe approaches to $\Lambda$CDM model.