Sadybekov, MakhmudOralsyn, Gulaiym2022-06-102022-06-102017-08-31Sadybekov, M., & Oralsyn, G. (2017). Nonlocal initial boundary value problem for the time-fractional diffusion equation. Electronic Journal of Differential Equations, 2017(201), pp. 1-7.1072-6691https://hdl.handle.net/10877/15895In this article we discuss a method for constructing trace formulae for the heat-volume potential of the time-fractional diffusion equation to lateral surfaces of cylindrical domains and use these conditions to construct as well as to study a nonlocal initial boundary value problem for the time-fractional diffusion equation.Text7 pages1 file (.pdf)enAttribution 4.0 InternationalTime-fractional diffusion equationFundamental solutionTime-fractional heat potentialLayer potentialsNonlocal boundary conditionsArticle