  A nonlinear algebraic equation system of 5 variables is numerically solved,
which is derived from the application of the Fourier transform to a
differential equation system that allows modeling the behavior of the
temperatures and the efficiencies of a hybrid solar receiver, which in simple
terms is the combination of a photovoltaic system with a thermoelectric system.
In addition, a way to reduce the previous system to a nonlinear system of only
2 variables is presented. Naturally, reducing algebraic equation systems of
dimension N to systems of smaller dimensions has the main advantage of reducing
the number of variables involved in a problem, but the analytical expressions
of the systems become more complicated. However, to minimize this disadvantage,
an iterative method that does not explicitly depend on the analytical
complexity of the system to be solved is used. 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 is presented.
