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

被引：6
|
作者：
Tran Thanh Binh [1 ]
Baleanu, Dumitru [2 ,3 ,4 ]
Nguyen Hoang Luc [5 ]
Nguyen-H Can [6 ]
机构：
[1] Thu Dau Mot Univ, Fac Nat Sci, Thu Dau Mot City, Vietnam
[2] Cankaya Univ, Dept Math, Ankara, Turkey
[3] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan
[4] Inst Space Sci, Magurele, Romania
[5] Duy Tan Univ, Inst Fundamental & Appl Sci, Ho Chi Minh City, Vietnam
[6] Ton Duc Thang Univ, Appl Anal Res Grp, Fac Math & Stat, Ho Chi Minh City, Vietnam
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2019年 / 2019卷 / 01期
关键词：
Rayleigh-Stokes problem; Fractional derivative; Ill-posed problem; Random data; SUBJECT;
D O I：
10.1186/s13660-019-2262-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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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页数：16
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