Monotone iterative technique for time-space fractional diffusion equations involving delay

Autor:	Qiang Li, Guotao Wang, Mei Wei
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	time-space fractional diffusion equations operator semigroup monotone iterative technique existence and uniqueness delay Analysis QA299.6-433
Zdroj:	Nonlinear Analysis, Vol 26, Iss 2 (2021)
Druh dokumentu:	article
ISSN:	1392-5113 2335-8963
DOI:	10.15388/namc.2021.26.21656
Popis:	This paper considers the initial boundary value problem for the time-space fractional delayed diffusion equation with fractional Laplacian. By using the semigroup theory of operators and the monotone iterative technique, the existence and uniqueness of mild solutions for the abstract time-space evolution equation with delay under some quasimonotone conditions are obtained. Finally, the abstract results are applied to the time-space fractional delayed diffusion equation with fractional Laplacian operator, which improve and generalize the recent results of this issue.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/629ae0d8a2f94f32bebdcf785c7c628b Zobrazit plný text záznamu View record in DOAJ