Solutions of Fractional Systems of Difference Equations

Abstract

This paper is devoted to studying the form of the solutions and
the periodicity of the following rational system of difference
equations:

\begin{align*}
x_{n+1} &= \frac{x_{n-5}}{1-x_n-_5y_{n-2}}, &
y_{n+1}= \frac{ y_{n-5}}{\pm1 \pm y_{n-5} + _5x_{n-2}},
\end{align*}

with initial conditions are real numbers.