  The following document presents a possible solution and a brief stability
analysis for a nonlinear system, which is obtained by studying the possibility
of building a hybrid solar receiver; It is necessary to mention that the
solution of the aforementioned system is relatively difficult to obtain through
iterative methods since the system is apparently unstable. To find this
possible solution is used a novel numerical method valid for one and several
variables, which using the fractional derivative, allows us to find solutions
for some nonlinear systems in the complex space using real initial conditions,
this method is also valid for linear systems. The method described above has an
order of convergence (at least) linear, but it is easy to implement and it is
not necessary to invert some matrix for solving nonlinear systems and linear
systems.
