On the fundamental solutions of a discontinuous fractional boundary value problem     
Yazarlar (2)
Prof. Dr. Ali YAKAR Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Prof. Dr. Zülfigar AKDOĞAN Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Makale Türü Açık Erişim Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale
Dergi Adı Advances in Difference Equations
Dergi ISSN 1687-1839
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q4
Makale Dili İngilizce
Basım Tarihi 12-2017
Cilt No 2017
Sayı 1
Sayfalar 1 / 15
DOI Numarası 10.1186/s13662-017-1433-6
Makale Linki https://advancesindifferenceequations.springeropen.com/articles/10.1186/s13662-017-1433-6
Özet
The main purpose of this study is to investigate a fractional discontinuous Sturm-Liouville problem with transmission conditions. We shall consider a fractional boundary value problem involving an operator with two parts. It is shown that the eigenvalues and corresponding eigenfunctions of the main problem coincide with the eigenvalues and corresponding eigenfunctions of the constructed operator in Hilbert spaces.
Anahtar Kelimeler
fractional boundary conditions | fractional calculus | fractional Sturm-Liouville problem | fractional transmission condition