Conformable fractional Sturm-Liouville problems on time scales
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.45, sa.4, ss.2299-2314, 2022 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 45 Sayı: 4
- Basım Tarihi: 2022
- Doi Numarası: 10.1002/mma.7925
- Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
- Sayfa Sayıları: ss.2299-2314
- Anahtar Kelimeler: dynamic equations on time scales, eigenfunction expansions, eigenfunctions, self-adjoint operators, spectrum, CALCULUS, OPERATOR, COMPLETENESS
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
We consider a conformable fractional Sturm-Liouville problem on bounded time scales. Firstly, the existence and uniqueness of solutions of the conformable fractional Sturm-Liouville problem are proved. Maximal and minimal symmetric operators are introduced and some results are given. Finally, the Green's function of this problem is constructed, and an eigenfunction expansion is given.