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Journal of Applied Mathematics
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https://dx.doi.org/10.1155/201...
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Asymptotic Stability Results for NonlinearFractional Difference Equations

Asymptotic stability results for nonlinear fractional difference equations
descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2012 English Publisher:WileyJournal:Journal of Applied Mathematics, volume 2,012 (issn: 1110-757X, eissn: 1687-0042, Copyright policy )
Authors: Chen, Fulai; Liu, Zhigang;

doi: 10.1155/2012/879657

Asymptotic Stability Results for NonlinearFractional Difference Equations

Abstract

We present some results for the asymptotic stability of solutions for nonlinear fractional difference equations involvingRiemann‐Liouville‐likedifference operator. The results are obtained by using Krasnoselskii′s fixed point theorem and discrete Arzela‐Ascoli′s theorem. Three examples are also provided to illustrate our main results.

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Keywords

Fixed-point theorems, Stability theory for difference equations, QA1-939, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
21
Top 10%
Top 10%
Average
gold