  Anisotropic spherically symmetric solutions within the framework of the
Brans-Dicke theory are uncovered through a unique gravitational decoupling
approach involving a minimal geometric transformation. This transformation
effectively divides the Einstein field equations into two separate systems,
resulting in the alteration of the radial metric component. The first system
encompasses the influence of the seed source, derived from the metric functions
of the isotropic Tolman IV solution. Meanwhile, the anisotropic source is
subjected to two specific constraints in order to address the second system. By
employing matching conditions to determine the unknown constants at the
boundary of the stellar object, a comprehensive examination of the internal
structure of stellar systems ensues. This investigation delves into the impact
of the decoupling parameter, the Brans-Dicke parameters, and a scalar field on
the structural characteristics of anisotropic spherically symmetric spacetimes,
all while considering the strong energy conditions.
