The periodic nature and expression on solutions of some rational systems of difference equations
Our aim in this paper is to obtain formulas expressions for solutions of the following fractional systems of difference equationsLn+1=Ln-3Mn-4Mn±1-Ln-3Mn-4Wn-1Xn-2,n=0,1,2,…,Mn+1=Mn-3Wn-4Wn±1-Mn-3Wn-4Xn-1Ln-2,Wn+1=Wn-3Xn-4Xn±1±Wn-3Xn-4Ln-1Mn-2,Xn+1=Xn-3Ln-4Ln±1±Xn-3Ln-4Mn-1Wn-2,where the initial val...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2023-07-01
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| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S111001682300385X |
| Summary: | Our aim in this paper is to obtain formulas expressions for solutions of the following fractional systems of difference equationsLn+1=Ln-3Mn-4Mn±1-Ln-3Mn-4Wn-1Xn-2,n=0,1,2,…,Mn+1=Mn-3Wn-4Wn±1-Mn-3Wn-4Xn-1Ln-2,Wn+1=Wn-3Xn-4Xn±1±Wn-3Xn-4Ln-1Mn-2,Xn+1=Xn-3Ln-4Ln±1±Xn-3Ln-4Mn-1Wn-2,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. |
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| ISSN: | 1110-0168 |