A nonlinear fractional Rayleigh–Stokes equation under nonlocal integral conditions

被引：0
|
作者：
Nguyen Hoang Luc
Le Dinh Long
Ho Thi Kim Van
Van Thinh Nguyen
机构：
[1] University of Science,Department of Mathematics and Computer Science
[2] Vietnam National University,Division of Applied Mathematics
[3] Thu Dau Mot University,Department of Civil and Environmental Engineering
[4] Seoul National University,undefined
来源：
Advances in Difference Equations | / 2021卷
关键词：
Fractional Rayleigh–Stokes equation; Ill-posed problem; Regularization; Existence; Uniqueness; Convergence estimation;
D O I：
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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.
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