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Dynamics and Solutions’ Expressions of a Higher-Order Nonlinear Fractional Recursive Sequence
Author(s) -
A. Alshareef,
Faris Alzahrani,
Abdul Qadeer Khan
Publication year - 2021
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2021/1902473
Subject(s) - order (exchange) , physics , mathematics , economics , finance
The principle purpose of this article is to examine some stability properties for the fixed point of the below rational difference equation U n + 1 = ξ U n − 8 + ε U n − 8 2 / μ U n − 8 + κ U n − 17 where ξ , ε , μ , and κ are arbitrary real numbers. Moreover, solutions for some special cases of the proposed difference equation are introduced.

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