Tuan, Nguyen HuyHuynh, Le NhatBaleanu, DumitruCan, Nguyen Huu2021-01-282021-01-282020Tuan, 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. 2858-2882.0170-42141099-1476http://hdl.handle.net/20.500.12416/4497In 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 EquationArticle4362858288210.1002/mma.6087