Conformable fractional Sturm-Liouville equation
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.42, sa.10, ss.3508-3526, 2019 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 42 Sayı: 10
- Basım Tarihi: 2019
- Doi Numarası: 10.1002/mma.5595
- Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.3508-3526
- Anahtar Kelimeler: conformable fractional Sturm-Liouville operator, eigenfunction expansions, eigenvalues and eigenfunctions, Green's function, self-adjoint operator, CALCULUS
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
In this article, we discuss a conformable fractional Sturm-Liouville boundary-value problem. We prove an existence and uniqueness theorem for this equation and formulate a self-adjoint boundary value problem. We also construct the associated Green function of this problem, and we give the eigenfunction expansions. Finally, we will give some examples.