Conformable fractional Sturm–Liouville problems on time scales

Conformable fractional Sturm–Liouville problems on time scales

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 Gr...

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Veröffentlicht in:Mathematical methods in the applied sciences 2022-03, Vol.45 (4), p.2299-2314
Hauptverfasser: Allahverdiev, Bilender P., Tuna, Hüseyin
Format: Artikel
Sprache:eng
Schlagworte:
dynamic equations on time scales
eigenfunction expansions
eigenfunctions
Eigenvectors
Green's functions
self‐adjoint operators
spectrum
Time
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Zusammenfassung: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.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.7925