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A Quasi-Boundary Value Method for Solving a Backward Problem of the Fractional Rayleigh–Stokes Equation

Sábháilte in:
Foilsithe in:Axioms vol. 14, no. 11 (2025), p. 833-847
Príomhchruthaitheoir: Wang, Xiaomin
Rannpháirtithe: Yang, Aimin
Foilsithe / Cruthaithe:
MDPI AG
Ábhair:
Regularization methods
Numerical analysis
Regularization
Investigations
Inequality
Inverse problems
Cauchy problems
Boundary value problems
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Achoimre:In this paper, we study a backward problem for a fractional Rayleigh–Stokes equation by using a quasi-boundary value method. This problem is ill-posed; i.e., the solution (if it exists) does not depend continuously on the data. To overcome its instability, a regularization method is employed, and convergence rate estimates are derived under both a priori and a posteriori criteria for selecting the regularization parameter. The theoretical results demonstrate the effectiveness of the proposed method in deriving stable and accurate solutions.
ISSN:2075-1680
DOI:10.3390/axioms14110833
Foinse:Engineering Database