Determination of source term for the fractional Rayleigh–Stokes equation with random data
https://doi.org/10.1186/s13660-019-2262-9Publisher, magazine: ,
Publication year: 2019
Lưu Trích dẫn Chia sẻAbstract
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.
Tags: Rayleigh–Stokes problem, Fractional derivative, Ill-posed problem, Random data
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