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

Autor:	Qiang Li, Lishan Liu, Xu Wu
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	fractional evolution equation with delay S-asymptotically periodic solutions existence and global asymptotic behavior C0-semigroup measure of noncompactness Gronwall-type inequality with delay Analysis QA299.6-433
Zdroj:	Nonlinear Analysis, Vol 28 (2023)
Druh dokumentu:	article
ISSN:	1392-5113 2335-8963
DOI:	10.15388/namc.2023.28.32643
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/1858690cd26243d6b91e8eea5ea80dbc Zobrazit plný text záznamu View record in DOAJ