One dimensional beta Dirac system

Yalçınkaya Y., Allahverdiyev B., TUNA H.

Filomat, vol.39, no.22, pp.7603-7618, 2025 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 39 Issue: 22
  • Publication Date: 2025
  • Doi Number: 10.2298/fil2522603y
  • Journal Name: Filomat
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.7603-7618
  • Keywords: Beta Dirac system, eigenfunction expansions, eigenvalues and eigenfunctions, Green’s matrix, self-adjoint operator
  • Open Archive Collection: Article
  • Azerbaijan State University of Economics (UNEC) Affiliated: Yes

Abstract

In this study, the beta fractional Dirac system is discussed. After the definitions and theorems used in the study are given, The self-adjoint boundary value issue is posed and the existence and uniqueness theorem for the Dirac system is established. The eigenfunction expansions of the beta fractional Dirac system are provided along with the construction of the corresponding Green matrix. Finally, some examples related to the subject are given.