Beta Fractional Derivative Sturm-Liouville Problems
Caspian Journal of Mathematical Sciences, vol.14, no.1, pp.1-14, 2025 (Scopus)
- Publication Type: Article / Article
- Volume: 14 Issue: 1
- Publication Date: 2025
- Doi Number: 10.22080/cjms.2025.28151.1732
- Journal Name: Caspian Journal of Mathematical Sciences
- Journal Indexes: Scopus
- Page Numbers: pp.1-14
- Keywords: eigenfunction expansion, Fractional differential equations, Green’s function, self-adjoint operators
- Open Archive Collection: Article
- Azerbaijan State University of Economics (UNEC) Affiliated: Yes
Abstract
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.