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This paper investigates the behavior of anisotropic static spheres that areconstructed by employing a minimal geometric deformation in the framework of$f(R,T^{2})$ gravity ($T^{2}=T_{\zeta\nu}T^{\zeta\nu}$, $R$ is the Ricci scalarand $T_{\zeta\nu}$ is the energy-momentum tensor). We consider a sphericalsetup with two sources: seed and additional. It is assumed that the seed sourceis isotropic whereas the new source is responsible for inducing anisotropy. Wedeform the $g_{rr}$ component to split the field equations into two sets. Thefirst array corresponds to the isotropic solution whereas the second setcontains the effect of the anisotropic source. The system related to isotropicsource is determined by the metric potentials of Tolman V solution while threesolutions of the second set are constructed corresponding to three differentconstraints. The physical acceptability of all solutions is checked throughenergy conditions by employing the radius and mass of PSR J1614-2230 star. Wealso examine the stability, mass, compactness and redshift of the obtainedsolutions. We conclude that first two solutions satisfy the viability andstability criteria only for small values of the decoupling parameter whilethird solution is stable for its all possible values.

Anisotropic Tolman V Solutions by Decoupling Approach in $f(R,T^{2})$ Gravity