Dynamics and Solutions’ Expressions of a Higher-Order Nonlinear Fractional Recursive Sequence

Abeer Alshareef; Faris Alzahrani; Abdul Qadeer Khan

doi:10.1155/2021/1902473

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Dynamics and Solutions’ Expressions of a Higher-Order Nonlinear Fractional Recursive Sequence

Journal article

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Dynamics and Solutions’ Expressions of a Higher-Order Nonlinear Fractional Recursive Sequence

Abeer Alshareef, Faris Alzahrani and Abdul Qadeer Khan

Mathematical problems in engineering, Vol.2021, pp.1-12

09/06/2021

DOI: https://doi.org/10.1155/2021/1902473

Abstract

The principle purpose of this article is to examine some stability properties for the fixed point of the below rational difference equation Un+1=ξUn−8+εUn−82/μUn−8+κUn−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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Title: Dynamics and Solutions’ Expressions of a Higher-Order Nonlinear Fractional Recursive Sequence
Creators - without role: Abeer Alshareef - King Abdulaziz University
Faris Alzahrani - King Abdulaziz University
Abdul Qadeer Khan - Department of MathematicsUniversity of Azad Jammu and KashmirMuzaffarabad 13100Pakistanajku.edu.pk
Contributors - without role: Abdelalim Elsadany
Publication Details: Mathematical problems in engineering, Vol.2021, pp.1-12
Publisher: Hindawi
Identifiers: 9935725408331
Academic Unit: King Abdulaziz University; Prince Sattam Bin Abdulaziz University
Language: English
Resource Type: Journal article