Journal of Siberian Federal University. Mathematics & Physics / On a ψ-fractional Dirac equation

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. Prepublication
Authors
Allahverdiev, Bilender P.; H¨useyin Tuna
Contact information
Allahverdiev, Bilender P. : Khazar University Baku, Azerbaijan; Research Center of Econophysics UNEC-Azerbaijan State University of Economics Baku, Azerbaijan; OCRID: 0000-0002-9315-4652; H¨useyin Tuna: Faculty of Arts and Sciences Mehmet Akif Ersoy University Burdur, Turkey; Research Center of Econophysics UNEC-Azerbaijan State University of Economics Baku, Azerbaijan; OCRID: 0000-0001-7240-8687
Keywords
Dirac system; Hilfer derivatives; eigenvalues; eigenfunctions
Abstract

In this study, we use the ψ-Riemann-Liouville and ψ-Caputo derivatives to construct a ψ-fractional Dirac system. Several characteristics of this system were examined. Lastly, an adequate eigenvalue condition is provided for the uniqueness and existence of the corresponding eigenfunctions

Pages
838–846
EDN
MNQNEC
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/157493