Anisotropic interior solution by gravitational decoupling based on a non-standard anisotropy

In this work, we obtain a new interior solution supported by an anisotropic fluid in the framework of gravitational decoupling. To this end, we propose an non-standard anisotropy function to close the system of equations and we illustrate the method using the well-known Tolman IV model as a seed solution. The result is a well behaved anisotropic interior solution.