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In this work, we have adopted gravitational decoupling by Minimal GeometricDeformation (MGD) approach and have developed an anisotropic version ofwell-known Tolman VII isotropic solution in the framework of $f(R, T)$ gravity,where $R$ is Ricci scalar and $T$ is trace of energy momentum tensor. The setof field equations has been developed with respect to total energy momentumtensor, which combines effective energy momentum tensor in $f(R,T)$ gravity andadditional source $\phi_{ij}$. Following MGD approach, the set of fieldequations has been separated into two sections. One section represents $f(R,T)$ field equations, while the other is related to the source $\phi_{ij}$. Thematching conditions for inner and outer geometry have also been discussed andan anisotropic solution has been developed using mimic constraint for radialpressure. In order to check viability of the solution, we have consideredobservation data of three different compact star models, named PSR J1614-2230,PSR 1937+21 and SAX J1808.4-3658 and have discussed thermodynamical propertiesanalytically and graphically.  The energy conditions are found to be satisfied for the three compact stars.The stability analysis has been presented through causality condition andHerrera's cracking concept, which ensures physical acceptability of thesolution.

An anisotropic version of Tolman VII solution in $f(R,T)$ gravity via Gravitational Decoupling MGD Approach