Tokmagambetov, NiyazTorebek, Berikbol T.2022-01-312022-01-312018-04-12Tokmagambetov, N., & Torebek, B. T. (2018). Well-posed problems for the fractional Laplace equation with integral boundary conditions. <i>Electronic Journal of Differential Equations, 2018</i>(90), pp. 1-10.1072-6691https://hdl.handle.net/10877/15257In this remark we study the boundary-value problems for a fractional analogue of the Laplace equation with integral boundary conditions in rectangular and half-strip domains. We prove the existence and uniqueness of solutions by using the spectral decomposition method.Text10 pages1 file (.pdf)enAttribution 4.0 InternationalCaputo operatorRiemann-Liouville operatorFractional LaplaceMittag-Leffler functionSelf-adjoint operatorBoundary value problemArticle