Le Dinh LongLe Thi Diem HangBaleanu, DumitruNguyen Huu CanNguyen Hoang Luc2022-05-232025-09-182022-05-232025-09-182021Luc, Nguyen Hoang...et al. (2021). "Identifying the initial condition for space-fractional sobolev equation", Journal of Applied Analysis and Computation, Vol. 11, No. 5, pp. 2402-2422.2156-907X2158-5644https://doi.org/10.11948/20200404https://hdl.handle.net/20.500.12416/13251In this work, a final value problem for a fractional pseudo-parabolic equation is considered. Firstly, we present the regularity of solution. Secondly, we show that this problem is ill-posed in Hadamard's sense. After that we use the quasi-boundary value regularization method to solve this problem. To show that the proposed theoretical results are appropriate, we present an illustrative numerical example.eninfo:eu-repo/semantics/openAccessFinal Value ProblemFractional Pseudo-Parabolic EquationIii-Posed ProblemConvergence EstimatesRegularizationIdentifying the Initial Condition for Space-Fractional Sobolev EquationIdentifying the initial condition for space-fractional sobolev equationArticle10.11948/202004042-s2.0-85116859464