Discontinuous fractional Sturm–Liouville problems with transmission conditions
Yazarlar (3)
Prof. Dr. Zülfigar AKDOĞAN
Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Prof. Dr. Ali YAKAR
Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Independent Researcher, Türkiye
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale |
| Dergi Adı | Applied Mathematics and Computation |
| Dergi ISSN | 0096-3003 Wos Dergi Scopus Dergi |
| Dergi Tarandığı Indeksler | SCI |
| Makale Dili | İngilizce |
| Basım Tarihi | 06-2019 |
| Cilt No | 350 |
| Sayı | 1 |
| Sayfalar | 1 / 10 |
| DOI Numarası | 10.1016/j.amc.2018.12.049 |
| Makale Linki | https://linkinghub.elsevier.com/retrieve/pii/S009630031831110X |
| Özet |
| The main purpose of this study is the investigation of discontinuous Sturm–Liouville problem with fractional derivatives. We give an operator theoretic framework of the problem under consideration. Namely, we define an operator A in the Hilbert space L 2 [−1,1], the eigenvalues and corresponding eigenfunctions of which coincide with the eigenvalues and corresponding eigenfunctions of the boundary value problem, respectively. Then, we establish the characteristic function and prove that the eigenvalues of the considered problem coincide with the roots of this characteristic function. |
| Anahtar Kelimeler |
| Fractional boundary conditions | Fractional calculus | Fractional Sturm–Liouville Problem | Fractional transmission condition |
Science Direct
Discontinuous fractional Sturm–Liouville problems with transmission conditions
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 10 |
| SCOPUS | 13 |
| Google Scholar | 17 |