MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol.45, no.4, pp.2299-2314, 2022 (SCI-Expanded)
Article / Article
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
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
dynamic equations on time scales, eigenfunction expansions, eigenfunctions, self-adjoint operators, spectrum, CALCULUS, OPERATOR, COMPLETENESS
Süleyman Demirel University Affiliated:
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.