On Some Fractional Systems of Difference Equations

This paper deals with the solutions of the systems of difference equations $$x_{n+1}=\frac{y_{n-3}y_nx_{n-2}}{y_{n-3}x_{n-2}\pm y_{n-3}y_n \pm y_nx_{n-2}}, \,y_{n+1}=\frac{y_{n-2}x_{n-1}}{ 2y_{n-2}\pm x_{n-1}},\,n\in \mathbb{N}_{0},$$ where $\mathbb{N}_{0}=\mathbb{N}\cup \left\{0\right\}$, and initial values $x_{-2},\, x_{-1},\,x_{0},\,y_{-3},\,y_{-2},\,y_{-1},\,y_{0}$ are non-zero real numbers.