具有时滞的分数阶演化方程s -渐近周期解的存在性和全局渐近性

IF 2.6 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Modelling and Control Pub Date : 2023-07-10 DOI:10.15388/namc.2023.28.32643

Qiang Li, Lishan Liu, Xuan Wu

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引用次数: 0

摘要

本文讨论了具有时滞的分数阶进化方程的S-渐近周期问题。通过引入一种新的涉及无穷区间的非紧测度理论，研究了在相关半群是非紧的并且非线性项满足更一般的增长条件而不是Lipschitz型条件的情况下，S-渐近周期温和解的存在性。此外，通过建立一个新的Gronwall型积分不等式对应于具有时滞的分数阶微分方程，我们考虑了S-渐近周期温和解的全局渐近行为，这将弥补这一领域的空白。

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Existence and global asymptotic behavior of S-asymptotically periodic solutions for fractional evolution equation with delay

This paper discusses the S-asymptotically periodic problem of fractional evolution equation with delay. By introducing a new noncompact measure theory involving infinite interval, we study the existence of S-asymptotically periodic mild solutions under the situation that the relevant semigroup is noncompact and the nonlinear term satisfies more general growth conditions instead of Lipschitz-type conditions. Moreover, by establishing a new Gronwall-type integral inequality corresponding to fractional differential equation with delay, we consider the global asymptotic behavior of S-asymptotically periodic mild solutions, which will make up for the blank of this field.

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来源期刊

Nonlinear Analysis-Modelling and Control MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

3.80

自引率

10.00%

发文量

审稿时长

9.6 months

期刊介绍： The scope of the journal is to provide a multidisciplinary forum for scientists, researchers and engineers involved in research and design of nonlinear processes and phenomena, including the nonlinear modelling of phenomena of the nature. The journal accepts contributions on nonlinear phenomena and processes in any field of science and technology. The aims of the journal are: to provide a presentation of theoretical results and applications; to cover research results of multidisciplinary interest; to provide fast publishing of quality papers by extensive work of editors and referees; to provide an early access to the information by presenting the complete papers on Internet.