On Some Fractional Systems of Difference Equations

Author(s):

N. Touafek

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

System of difference equations , Form of the solutions , Periodicity

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:9 Issue: 2, Nov 2014
Pages:
73 to 86
https://www.magiran.com/p1329594