Lopushanska, HalynaLopushansky, AndrzejMyaus, Olga2023-05-262023-05-262016-01-07Lopushanska, H., Lopushansky, A., & Myaus, O. (2016). Inverse problems of periodic spatial distributions for a time fractional diffusion equation. <i>Electronic Journal of Differential Equations, 2016</i>(14), pp. 1-9.1072-6691https://hdl.handle.net/10877/16886For a time fractional diffusion equation and a diffusion-wave equation with Caputo partial derivative we prove the inverse problem is well posed. This problem consists in the restoration of the initial data of a classical solution in time and with values in a space of periodic spatial distributions. A time integral over-determination condition is used.Text9 pages1 file (.pdf)enAttribution 4.0 InternationalFractional derivativeInverse problemIntegral at timesOver-determinationArticle