Conformable fractional Sturm–Liouville problems on time scales

Allahverdiyev B., TUNA H.

Mathematical Methods in the Applied Sciences, vol.45, no.4, pp.2299-2314, 2022 (SCI-Expanded) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 45 Say: 4
  • Nəşr tarixi: 2022
  • Doi nömrəsi: 10.1002/mma.7925
  • jurnalın adı: Mathematical Methods in the Applied Sciences
  • Jurnalın baxıldığı indekslər: 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
  • Səhifə sayı: pp.2299-2314
  • Açar sözlər: dynamic equations on time scales, eigenfunction expansions, eigenfunctions, self-adjoint operators, spectrum
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Yox

Qısa məlumat

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.