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

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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… Click to show full 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.

Keywords: stokes equation; determination source; rayleigh stokes; source term

Journal Title: Journal of Inequalities and Applications
Year Published: 2019

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