Determination of an unknown source term temperature distribution for the sub-diffusion equation at the initial and final data
Torebek, Berikbol T.
Texas State University, Department of Mathematics
We 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.
Inverse problem, Involution, Nonlocal sub-diffusion equation, Fractional-time diffusion equation
Kirane, 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.
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