SPECTRAL EXPANSION FOR CONFORMABLE FRACTIONAL STURM-LIOUVILLE PROBLEM ON THE WHOLE LINE
Kragujevac Journal of Mathematics, cilt.48, sa.6, ss.811-826, 2024 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 48 Sayı: 6
- Basım Tarihi: 2024
- Doi Numarası: 10.46793/kgjmat2406.811a
- Dergi Adı: Kragujevac Journal of Mathematics
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
- Sayfa Sayıları: ss.811-826
- Anahtar Kelimeler: Parseval equality, Singular conformable fractional Sturm-Liouville equation, spectral expansion, spectral function
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
In this article, we discuss a conformable fractional Sturm-Liouville boundary-value problem on the whole line. We prove the existence of a spectral function for the singular conformable fractional Sturm-Lioville problem. Further, we establish a Parseval equality and spectral expansion formula by terms of the spectral function for conformable fractional Sturm-Liouville problem on the whole line.