Baleanu, DumitruNguyen Hoang LucNguyen-H CanTran Thanh Binh02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2021-02-102025-09-182021-02-102025-09-182019Binh, Tran Thanh...et al. (2019). "Determination of source term for the fractional Rayleigh-Stokes equation with random data", Journal of Inequalities and Applications, Vol. 2019, No. 1.1029-242Xhttps://doi.org/10.1186/s13660-019-2262-9https://hdl.handle.net/123456789/11189Nguyen, Huu-Can/0000-0001-6198-1015In 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.eninfo:eu-repo/semantics/openAccessRayleigh-Stokes ProblemFractional DerivativeIll-Posed ProblemRandom DataArticle10.1186/s13660-019-2262-92-s2.0-85076170765