{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,14]],"date-time":"2025-11-14T16:59:29Z","timestamp":1763139569304,"version":"3.45.0"},"reference-count":28,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2025,11,12]],"date-time":"2025-11-12T00:00:00Z","timestamp":1762905600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>In this paper, we study a backward problem for a fractional Rayleigh\u2013Stokes 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.<\/jats:p>","DOI":"10.3390\/axioms14110833","type":"journal-article","created":{"date-parts":[[2025,11,14]],"date-time":"2025-11-14T16:46:22Z","timestamp":1763138782000},"page":"833","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["A Quasi-Boundary Value Method for Solving a Backward Problem of the Fractional Rayleigh\u2013Stokes Equation"],"prefix":"10.3390","volume":"14","author":[{"given":"Xiaomin","family":"Wang","sequence":"first","affiliation":[{"name":"Basic Course Department, Wuxi Taihu University, Wuxi 214064, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Aimin","family":"Yang","sequence":"additional","affiliation":[{"name":"College of Science, North China University of Science and Technology, Tangshan 063210, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2025,11,12]]},"reference":[{"key":"ref_1","unstructured":"Podlubny, I. 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