Determination of source term for the fractional Rayleigh–Stokes equation with random data

被引：0
|
作者：
Tran Thanh Binh
Dumitru Baleanu
Nguyen Hoang Luc
Nguyen-H Can
机构：
[1] Thu Dau Mot University,Faculty of Natural Sciences
[2] Cankaya University,Department of Mathematics
[3] China Medical University,Department of Medical Research, China Medical University Hospital
[4] Institute of Space Sciences,Institute of Fundamental and Applied Sciences
[5] Duy Tan University,Applied Analysis Research Group, Faculty of Mathematics and Statistics
[6] Ton Duc Thang University,undefined
来源：
Journal of Inequalities and Applications | / 2019卷
关键词：
Rayleigh–Stokes problem; Fractional derivative; Ill-posed problem; Random data; 35K05; 35K99; 47J06; 47H10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this article, we consider the problem of finding a source term of a Rayleigh–Stokes equation. Our problem is not well-posed in the sense of Hadamard. The sought solution does not depend continuously on the given data. Using the truncation method and some new techniques on trigonometric estimators, we give the regularized solution. Moreover, the mean square error and convergence rates are established.
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