Beta Fractional Derivative Sturm-Liouville Problems
Caspian Journal of Mathematical Sciences, cilt.14, sa.1, ss.1-14, 2025 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 14 Sayı: 1
- Basım Tarihi: 2025
- Doi Numarası: 10.22080/cjms.2025.28151.1732
- Dergi Adı: Caspian Journal of Mathematical Sciences
- Derginin Tarandığı İndeksler: Scopus
- Sayfa Sayıları: ss.1-14
- Anahtar Kelimeler: eigenfunction expansion, Fractional differential equations, Green’s function, self-adjoint operators
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
In this study, beta fractional derivative Sturm–Liouville problems are discussed. First, the existence and uniqueness problem for such equations is discussed. Then, self-adjointness is obtained with the help of boundary conditions. Eigenfunction expansion was obtained with the help of characteristic determinant and Green’s function. Finally, an example is given showing the theoretical results obtained.