  A nonlinear algebraic equation system of two variables is numerically solved,
which is derived from a nonlinear algebraic equation system of four variables,
that corresponds to a mathematical model related to investment under conditions
of uncertainty. The theory of investment under uncertainty scenarios proposes a
model to determine when a producer must expand or close, depending on his
income. The system mentioned above is solved using a fractional iterative
method, valid for one and several variables, that uses the properties of
fractional calculus, in particular the fact that the fractional derivatives of
constants are not always zero, to find solutions of nonlinear systems.
