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Hyers‐Ulam‐Rassias‐Wright Stability for Fractional Oscillation Equation

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2022 English Publisher:WileyJournal:Discrete Dynamics in Nature and Society, volume 2,022 (issn: 1026-0226, eissn: 1607-887X, Copyright policy )
Authors: Zahra Eidinejad; Reza Saadati;

doi: 10.1155/2022/9412009

Hyers‐Ulam‐Rassias‐Wright Stability for Fractional Oscillation Equation

Abstract

In this paper, we consider the nonhomogeneous fractional delay oscillation equation with order σ and introduce a class of control functions, i.e., Wright functions. Next, we apply the Cădariu‐Radu method to prove the existence of a unique solution and Hyers‐Ulam‐Rassias‐Wright stability of the fractional delay oscillation equation. At the end of the article, by an example, we show the application of the obtained results.

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Keywords

QA1-939, Mathematics

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citations
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!
6
Top 10%
Average
Top 10%
gold