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Journal of Function Spaces and Applications
Volume 2013 (2013), Article ID 915830, 7 pages
http://dx.doi.org/10.1155/2013/915830
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.

Citations to this Article [10 citations]

The following is the list of published articles that have cited the current article.

  • Funda Metin, “Fractional singular Sturm-Liouville operator for Coulomb potential,” Advances in Difference Equations, 2013. View at Publisher · View at Google Scholar
  • Alireza Ansari, “On finite fractional Sturm–Liouville transforms,” Integral Transforms and Special Functions, pp. 1–14, 2014. View at Publisher · View at Google Scholar
  • Alireza Ansari, “Some inverse fractional Legendre transforms of gamma function form,” Kodai Mathematical Journal, vol. 38, no. 3, pp. 658–671, 2015. View at Publisher · View at Google Scholar
  • Hassan Khosravian-Arab, Mehdi Dehghan, and M. R. Eslahchi, “Fractional Sturm-Liouville boundary value problems in unbounded domains: Theory and applications,” Journal Of Computational Physics, vol. 299, pp. 526–560, 2015. View at Publisher · View at Google Scholar
  • Erdal Bas, “The Inverse Nodal problem for the fractional diffusion equation,” Acta Scientiarum-Technology, vol. 37, no. 2, pp. 251–257, 2015. View at Publisher · View at Google Scholar
  • Erdal Bas, and Funda Metin, “Spectral Analysis for Fractional Hydrogen Atom Equation,” Advances in Pure Mathematics, vol. 05, no. 13, pp. 767–773, 2015. View at Publisher · View at Google Scholar
  • Sutrima, Marifatun, and Isnandar Slamet, “The fractional differential transformation method for the fractional sturm-liouville problem for fractional bessel equation,” Far East Journal of Mathematical Sciences, vol. 99, no. 1, pp. 1–15, 2016. View at Publisher · View at Google Scholar
  • Fatima-Zahra Bensidhoum, and Hacen Dib, “On some regular fractional sturm-liouville problems with generalized dirichlet conditions,” Journal of Integral Equations and Applications, vol. 28, no. 4, pp. 459–480, 2016. View at Publisher · View at Google Scholar
  • Aytekin Eryilmaz, and Hüseyin Tuna, “Spectral analysis of dissipative fractional Sturm-Liouville operators,” Georgian Mathematical Journal, vol. 24, no. 3, pp. 351–362, 2017. View at Publisher · View at Google Scholar
  • Pisamai Kittipoom, “Fractional singular Sturm-Liouville problems on the half-line,” Advances in Difference Equations, vol. 2017, no. 1, 2017. View at Publisher · View at Google Scholar