Le Nhat HuynhBaleanu, DumitruNguyen Huu CanNguyen Huy Tuan02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2021-01-282025-09-182021-01-282025-09-182020Tuan, Nguyen Huy...et al. (2020). "On a terminal value problem for a generalization of the fractional diffusion equation with hyper-Bessel operator", Mathematical Methods in the Applied Sciences, Vol. 43, No. 6, pp. 2858-2882.0170-42141099-1476https://doi.org/10.1002/mma.6087https://hdl.handle.net/20.500.12416/14066Nguyen, Huu-Can/0000-0001-6198-1015; Nguyen Huy, Tuan/0000-0002-6962-1898In this paper, we consider an inverse problem of recovering the initial value for a generalization of time-fractional diffusion equation, where the time derivative is replaced by a regularized hyper-Bessel operator. First, we investigate the existence and regularity of our terminal value problem. Then we show that the backward problem is ill-posed, and we propose a regularizing scheme using a fractional Tikhonov regularization method. We also present error estimates between the regularized solution and the exact solution using two parameter choice rules.eninfo:eu-repo/semantics/closedAccessFractional Tikhonov RegularizationHyper-Bessel OperatorTime-Fractional Diffusion EquationArticle10.1002/mma.60872-s2.0-85076780710