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This paper formulates some new exact solutions to the field equations bymeans of minimal gravitational decoupling in the context of$f(\mathbb{R},\mathbb{T})$ gravity. For this purpose, we consider anisotropicspherical matter distribution and add an extra source to extend the existingsolutions. We apply the transformation only on the radial metric potential thatresults in two different sets of the modified field equations, each of themcorresponding to their parent source. The initial anisotropic source isrepresented by the first set, and we consider two different well-behavedsolutions to close that system. On the other hand, we impose constraints on theadditional source to make the second set solvable. We, firstly, employ theisotropization condition which leads to an isotropic system for a particularvalue of the decoupling parameter. We then use the condition of zero complexityof the total configuration to obtain the other solution. The unknowns aredetermined by smoothly matching the interior and exterior spacetimes at thehypersurface. The physical viability and stability of the obtained solutions isanalyzed by using the mass and radius of a compact star $4U 1820-30$. It isconcluded that both of our extended solutions meet all the physicalrequirements for considered values of the coupling/decoupling parameters.

Isotropization and Complexity Analysis of Decoupled Solutions in $f(\mathbb{R},\mathbb{T})$ Theory