Fractional Dirac system with impulsive conditions

Allahverdiev B., Tuna H., Isayev H. A.

Chaos, Solitons and Fractals, vol.176, 2023 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 176
  • Publication Date: 2023
  • Doi Number: 10.1016/j.chaos.2023.114099
  • Journal Name: Chaos, Solitons and Fractals
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Compendex, INSPEC, zbMATH
  • Keywords: Dirac operator, Fractional derivatives and integrals, Impulsive conditions
  • Open Archive Collection: Article
  • Azerbaijan State University of Economics (UNEC) Affiliated: Yes

Abstract

In this article, fractional Dirac systems are considered under impulsive conditions and their basic properties are investigated. In this context, the symmetry, eigenvalues, and eigenfunctions of the system were examined and then the existence and uniqueness of the solutions of the system were proved. Finally, the characteristic function of the system is shown.