  In this work, we have adopted gravitational decoupling by Minimal Geometric
Deformation (MGD) approach and have developed an anisotropic version of
well-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 set
of field equations has been developed with respect to total energy momentum
tensor, which combines effective energy momentum tensor in $f(R,T)$ gravity and
additional source $\phi_{ij}$. Following MGD approach, the set of field
equations has been separated into two sections. One section represents $f(R,
T)$ field equations, while the other is related to the source $\phi_{ij}$. The
matching conditions for inner and outer geometry have also been discussed and
an anisotropic solution has been developed using mimic constraint for radial
pressure. In order to check viability of the solution, we have considered
observation data of three different compact star models, named PSR J1614-2230,
PSR 1937+21 and SAX J1808.4-3658 and have discussed thermodynamical properties
analytically and graphically.
  The energy conditions are found to be satisfied for the three compact stars.
The stability analysis has been presented through causality condition and
Herrera's cracking concept, which ensures physical acceptability of the
solution.
