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Determination of source term for the fractional Rayleigh–Stokes equation with random data.
- Source :
-
Journal of Inequalities & Applications . 12/5/2019, Vol. 2019 Issue 1, pN.PAG-N.PAG. 1p. - Publication Year :
- 2019
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *RAYLEIGH number
*ERROR rates
*EQUATIONS
*TRIGONOMETRIC functions
*TERMS & phrases
Subjects
Details
- Language :
- English
- ISSN :
- 10255834
- Volume :
- 2019
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Inequalities & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 140159703
- Full Text :
- https://doi.org/10.1186/s13660-019-2262-9