Allahverdiev, Bilender P.Tuna, Huseyin2022-05-182022-05-182017-05-18Allahverdiev, B. P., & Tuna, H. (2017). Spectral analysis of q-fractional Sturm-Liouville operators. <i>Electronic Journal of Differential Equations, 2017</i>(136), pp. 1-17.1072-6691https://hdl.handle.net/10877/15791In this article, we study q-fractional Sturm-Liouville operators. Using by the functional method, we pass to a new operator. Then, showing that this operator is a maximal operator and constructing a self-adjoint dilation of the maximal dissipative operator. We prove a theorem on the completeness of the system of eigenvectors and associated vectors of the dissipative q-fractional Sturm-Liouville operators.Text17 pages1 file (.pdf)enAttribution 4.0 InternationalDissipative q-fractional Sturm-Liouville operatorDilationEigenvectorScattering matrixFunctional modelCharacteristic functionArticle