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On a Backward Problem for the Rayleigh–Stokes Equation with a Fractional Derivative.
- Source :
- Axioms (2075-1680); Jan2024, Vol. 13 Issue 1, p30, 12p
- Publication Year :
- 2024
-
Abstract
- The Rayleigh–Stokes equation with a fractional derivative is widely used in many fields. In this paper, we consider the inverse initial value problem of the Rayleigh–Stokes equation. Since the problem is ill-posed, we adopt the Tikhonov regularization method to solve this problem. In addition, this paper not only analyzes the ill-posedness of the problem but also gives the conditional stability estimate. Finally, the convergence estimates are proved under two regularization parameter selection rules. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 20751680
- Volume :
- 13
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Axioms (2075-1680)
- Publication Type :
- Academic Journal
- Accession number :
- 175058652
- Full Text :
- https://doi.org/10.3390/axioms13010030