A Quasi-Boundary Value Method for Solving a Backward Problem of the Fractional Rayleigh–Stokes Equation
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| Publicado en: | Axioms vol. 14, no. 11 (2025), p. 833-847 |
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MDPI AG
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| Acceso en línea: | Citation/Abstract Full Text Full Text - PDF |
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| 022 | |a 2075-1680 | ||
| 024 | 7 | |a 10.3390/axioms14110833 |2 doi | |
| 035 | |a 3275501431 | ||
| 045 | 2 | |b d20250101 |b d20251231 | |
| 084 | |a 231430 |2 nlm | ||
| 100 | 1 | |a Wang, Xiaomin |u Basic Course Department, Wuxi Taihu University, Wuxi 214064, China | |
| 245 | 1 | |a A Quasi-Boundary Value Method for Solving a Backward Problem of the Fractional Rayleigh–Stokes Equation | |
| 260 | |b MDPI AG |c 2025 | ||
| 513 | |a Journal Article | ||
| 520 | 3 | |a 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. | |
| 653 | |a Regularization methods | ||
| 653 | |a Numerical analysis | ||
| 653 | |a Regularization | ||
| 653 | |a Investigations | ||
| 653 | |a Inequality | ||
| 653 | |a Inverse problems | ||
| 653 | |a Cauchy problems | ||
| 653 | |a Boundary value problems | ||
| 700 | 1 | |a Yang, Aimin |u College of Science, North China University of Science and Technology, Tangshan 063210, China | |
| 773 | 0 | |t Axioms |g vol. 14, no. 11 (2025), p. 833-847 | |
| 786 | 0 | |d ProQuest |t Engineering Database | |
| 856 | 4 | 1 | |3 Citation/Abstract |u https://www.proquest.com/docview/3275501431/abstract/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch |
| 856 | 4 | 0 | |3 Full Text |u https://www.proquest.com/docview/3275501431/fulltext/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch |
| 856 | 4 | 0 | |3 Full Text - PDF |u https://www.proquest.com/docview/3275501431/fulltextPDF/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch |