具有内分数反馈时滞项的lam系统的稳定性结果

Pub Date : 2021-12-01 DOI:10.2478/ausm-2021-0021

A. Benaissa, Soumia Gaouar

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引用次数: 1

摘要

摘要本文考虑了一类具有内分数反馈时滞项的lam系统。利用半群理论，在分数阶反馈中时滞项的权值与无时滞项的权值之间的一定条件下，证明了解的存在唯一性。进一步，我们利用Gearhart, Huang和Pruss的经典定理证明了指数稳定性。

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Stability result of the Lamé system with a delay term in the internal fractional feedback

Abstract In this article, we consider a Lamé system with a delay term in the internal fractional feedback. We show the existence and uniqueness of solutions by means of the semigroup theory under a certain condition between the weight of the delay term in the fractional feedback and the weight of the term without delay. Furthermore, we show the exponential stability by the classical theorem of Gearhart, Huang and Pruss.

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