The periodic nature and expression on solutions of some rational systems of difference equations

被引:11
作者
Elsayed, E. M. [1 ]
Alofi, B. S. [1 ]
机构
[1] King Abdulaziz Univ, Fac Sci, Math Dept, POB 80203, Jeddah 21589, Saudi Arabia
关键词
Recursive sequences; Difference equations; Solution of system of difference equations; SOLVABLE SYSTEM;
D O I
10.1016/j.aej.2023.05.026
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Our aim in this paper is to obtain formulas expressions for solutions of the following fractional systems of difference equations [GRAPHICS] where the initial values are non-zero real numbers. In addition we prove that some of these systems are periodic with different period. We also verify our theoretical results for every system with some numerical examples and draw by using some famous mathematical programs (Matlab program) to illustrate the results. (c) 2023 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
引用
收藏
页码:269 / 283
页数:15
相关论文
共 41 条
[11]  
Din Q., 2014, Computational Ecology and Software, V4, P89
[12]   On a solvable of some systems of rational difference equations [J].
El-Dessoky, M. M. .
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (06) :3744-3759
[13]  
El-Metwally H., 2013, DISCRETE DYN NAT SOC, V2013
[14]  
Elettreby M.F., DIS DYN NAT SOC, V2013
[15]   Theoretical and numerical analysis of solutions of some systems of nonlinear difference equations [J].
Elsayed, E. M. ;
Din, Q. ;
Bukhary, N. A. .
AIMS MATHEMATICS, 2022, 7 (08) :15532-15549
[16]   PERIODICITY AND SOLUTIONS OF SOME RATIONAL DIFFERENCE EQUATIONS SYSTEMS [J].
Elsayed, E. M. ;
Alzahrani, Faris .
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2019, 9 (06) :2358-2380
[17]  
Elsayed E.M., 2020, DYNAM CONTINUOUS DIS, V27, P283
[18]  
Elsayed E.M., 2021, EUR J MATH APPL, V1, P1
[19]  
Elsayed E.M., MATH PROBL ENG, V2022
[20]  
Elsayed M.E., 2022, J. Innov. Appl. Math. Comput. Sci. (JIAMCS), V2, P78