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Of many extended theories of gravity, $f(R,T)$ gravity has gained reasonableinterest in recent times as it provides interesting results in cosmology.Logarithmic corrections in modified theories of gravity has been studiedextensively. In this work, we considered logarithmic correction to the traceterm T and take the functional form as $f(R,T)=R + 16 \pi G \alpha \ln T$ where$\alpha$ is a free parameter. The free parameter is constrained using darkenergy density parameter $\Omega_{\Lambda}$ and Hubble parameter $H_0$. Thelower bound is found to be $\alpha \ge - 9.93 \times 10^{-29}$. Thecosmological implications are also studied.

Constraining logarithmic $f(R,T)$ model using Dark Energy density parameter $\Omega_{\Lambda}$ and Hubble parameter $H_0$