Determination of source term for the fractional Rayleigh–Stokes equation with random data
Trần Thanh BìnhFaculty of Natural Sciences, Thu Dau Mot University, Thu Dau Mot City, VietnamDumitru BǎleanuDepartment of Mathematics, Cankaya University, Ankara, TurkeyNguyen Hoang LucInstitute of Fundamental and Applied Sciences, Duy Tan University, Ho Chi Minh City, VietnamNguyen Huu CanApplied Analysis Research Group, Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam
2019en
ABI
Abstract
Abstract 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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Cited by 20 references