Tempered fractional Dirac type systems
Filomat, cilt.37, sa.27, ss.9135-9144, 2023 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 37 Sayı: 27
- Basım Tarihi: 2023
- Doi Numarası: 10.2298/fil2327135y
- Dergi Adı: Filomat
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.9135-9144
- Anahtar Kelimeler: Dirac type system, Fractional derivative and integral, tempered fractional Dirac system
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
In this research, we present a boundary value problem for a Dirac system with tempered fractional derivatives. Firstly, the definitions and properties of tempered fractional derivatives and tempered fractional integrals are given. Next, it is shown that the operator of the corresponding eigenvalue problem is a self-adjoint operator, that the eigenfunctions are orthogonal concerning different eigenvalues, and in which case the eigenvalue is simple.