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
收藏
页数：22
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