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Journal of Function Spaces and Applications
Volume 2013, Article ID 915830, 7 pages
Research Article

Fundamental Spectral Theory of Fractional Singular Sturm-Liouville Operator

Department of Mathematics, Faculty of Science, Firat University, 23119 Elazig, Turkey

Received 29 May 2013; Accepted 19 July 2013

Academic Editor: Kehe Zhu

Copyright © 2013 Erdal Bas. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We give the theory of spectral properties for eigenvalues and eigenfunctions of Bessel type of fractional singular Sturm-Liouville problem. We show that the eigenvalues and eigenfunctions of the problem are real and orthogonal, respectively. Furthermore, we prove new approximations about the topic.