A nonlinear fractional Rayleigh-Stokes equation under nonlocal integral conditions

被引：3

作者：

Nguyen Hoang Luc ^{[1
,2
,3
]}

Le Dinh Long ^{[3
]}

Ho Thi Kim Van ^{[3
]}

Van Thinh Nguyen ^{[4
]}

机构：

[1] Univ Sci, Dept Math & Comp Sci, Ho Chi Minh City, Vietnam

[2] Vietnam Natl Univ, Ho Chi Minh City, Vietnam

[3] Thu Dau Mot Univ, Div Appl Math, Thu Dau Mot, Vietnam

[4] Seoul Natl Univ, Dept Civil & Environm Engn, Seoul, South Korea

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2021年 / 2021卷 / 01期

基金：

新加坡国家研究基金会;

关键词：

Fractional Rayleigh-Stokes equation; Ill-posed problem; Regularization; Existence; Uniqueness; Convergence estimation; 2ND-GRADE FLUID; SPACE; TERM;

D O I：

10.1186/s13662-021-03545-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the fractional nonlinear Rayleigh-Stokes equation under nonlocal integral conditions, and the existence and uniqueness of the mild solution to our problem are considered. The ill-posedness of the mild solution to the problem recovering the initial value is also investigated. To tackle the ill-posedness, a regularized solution is constructed by the Fourier truncation method, and the convergence rate to the exact solution of this method is demonstrated.

引用

页数：22

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