Beta Fractional Derivative Sturm-Liouville Problems

Allahverdiyev B., TUNA H., Yalçinkaya Y.

Caspian Journal of Mathematical Sciences, vol.14, no.1, pp.1-14, 2025 (Scopus) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 14 Say: 1
  • Nəşr tarixi: 2025
  • Doi nömrəsi: 10.22080/cjms.2025.28151.1732
  • jurnalın adı: Caspian Journal of Mathematical Sciences
  • Jurnalın baxıldığı indekslər: Scopus
  • Səhifə sayı: pp.1-14
  • Açar sözlər: eigenfunction expansion, Fractional differential equations, Green’s function, self-adjoint operators
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Bəli

Qısa məlumat

In this study, beta fractional derivative Sturm–Liouville problems are discussed. First, the existence and uniqueness problem for such equations is discussed. Then, self-adjointness is obtained with the help of boundary conditions. Eigenfunction expansion was obtained with the help of characteristic determinant and Green’s function. Finally, an example is given showing the theoretical results obtained.