Identifying a space-dependent source term in distributed order time-fractional diffusion equations
نویسندگان
چکیده
The aim of this paper is to investigate an inverse problem recovering a space-dependent source term governed by distributed order time-fractional diffusion equations in Hilbert scales. Such ill-posed and has important practical applications. For problem, we propose general regularization method based on the idea filter method. With suitable condition, prove that optimal under various choices parameter. One priori parameter choice rule another one discrepancy principle. Finally, capabilities our are illustrated both Tikhonov Landweber
منابع مشابه
Landweber iterative method for identifying a space-dependent source for the time-fractional diffusion equation
*Correspondence: [email protected] School of Science, Lanzhou University of Technology, Lanzhou, Gansu 730050, P.R. China Abstract This paper is devoted to identifying an unknown source for a time-fractional diffusion equation with variable coefficients in a general bounded domain. This is an ill-posed problem. Firstly, we obtain a regularization solution by the Landweber iterative regularizatio...
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ژورنال
عنوان ژورنال: Mathematical Control and Related Fields
سال: 2023
ISSN: ['2156-8499', '2156-8472']
DOI: https://doi.org/10.3934/mcrf.2022025