Mekoth, C.George, S.Padikkal, P.2026-02-052021Applied Mathematics and Computation, 2021, 392, , pp. -963003https://doi.org/10.1016/j.amc.2020.125701https://idr.nitk.ac.in/handle/123456789/23334Fractional Tikhonov regularization method (FTRM) for linear ill-posed operator equations in the setting of Hilbert scales is being studied in this paper. Using a general Holder type source condition, we obtain an error estimate. A new parameter choice strategy is being proposed for choosing the regularization parameter in FTRM in the setting of Hilbert scales. Also, the proposed method is applied to the well known examples in the setting of Hilbert scales. © 2020 Elsevier Inc.Mathematical operatorsError estimatesHilbert scaleIll-posed operator equationNew parametersRegularization parametersSource conditionsTikhonov regularization methodParameterization