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

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

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...

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Main Authors: Abeer Alshareef, Faris Alzahrani, Abdul Qadeer Khan
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2021/1902473
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spelling doaj-8601fc3dcbe94fe7a38c5b10dd438b422021-06-21T02:25:20ZengHindawi LimitedMathematical Problems in Engineering1563-51472021-01-01202110.1155/2021/1902473Dynamics and Solutions’ Expressions of a Higher-Order Nonlinear Fractional Recursive SequenceAbeer Alshareef0Faris Alzahrani1Abdul Qadeer Khan2Department of MathematicsDepartment of MathematicsDepartment of MathematicsThe 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.http://dx.doi.org/10.1155/2021/1902473
collection DOAJ
language English
format Article
sources DOAJ
author Abeer Alshareef
Faris Alzahrani
Abdul Qadeer Khan
spellingShingle Abeer Alshareef
Faris Alzahrani
Abdul Qadeer Khan
Dynamics and Solutions’ Expressions of a Higher-Order Nonlinear Fractional Recursive Sequence
Mathematical Problems in Engineering
author_facet Abeer Alshareef
Faris Alzahrani
Abdul Qadeer Khan
author_sort Abeer Alshareef
title Dynamics and Solutions’ Expressions of a Higher-Order Nonlinear Fractional Recursive Sequence
title_short Dynamics and Solutions’ Expressions of a Higher-Order Nonlinear Fractional Recursive Sequence
title_full Dynamics and Solutions’ Expressions of a Higher-Order Nonlinear Fractional Recursive Sequence
title_fullStr Dynamics and Solutions’ Expressions of a Higher-Order Nonlinear Fractional Recursive Sequence
title_full_unstemmed Dynamics and Solutions’ Expressions of a Higher-Order Nonlinear Fractional Recursive Sequence
title_sort dynamics and solutions’ expressions of a higher-order nonlinear fractional recursive sequence
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1563-5147
publishDate 2021-01-01
description 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.
url http://dx.doi.org/10.1155/2021/1902473
work_keys_str_mv AT abeeralshareef dynamicsandsolutionsexpressionsofahigherordernonlinearfractionalrecursivesequence
AT farisalzahrani dynamicsandsolutionsexpressionsofahigherordernonlinearfractionalrecursivesequence
AT abdulqadeerkhan dynamicsandsolutionsexpressionsofahigherordernonlinearfractionalrecursivesequence
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