Determination of an unknown source term temperature distribution for the sub-diffusion equation at the initial and final data

Kirane, MokhtarSamet, BessemTorebek, Berikbol T.2022-08-082022-08-082017-10-11Kirane, M., Samet, B., & Torebek, B. T. (2017). Determination of an unknown source term temperature distribution for the sub-diffusion equation at the initial and final data. <i>Electronic Journal of Differential Equations, 2017</i>(257), pp. 1-13.1072-6691https://hdl.handle.net/10877/16051We consider a class of problems modeling the process of determining the temperature and density of nonlocal sub-diffusion sources given by initial and finite temperature. Their mathematical statements involve inverse problems for the fractional-time heat equation in which, solving the equation, we have to find the an unknown right-hand side depending only on the space variable. The results on existence and uniqueness of solutions of these problems are presented.Text13 pages1 file (.pdf)enAttribution 4.0 InternationalInverse problemInvolutionNonlocal sub-diffusion equationFractional-time diffusion equationDetermination of an unknown source term temperature distribution for the sub-diffusion equation at the initial and final dataArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.