Multiplicative conformable fractional Dirac system

Authors

SERTAÇ GÖKTAŞ
HİKMET KEMALOĞLU
EMRAH YILMAZ

DOI

10.55730/1300-0098.3136

Abstract

In multiplicative fractional calculus, the well-known Dirac system in fractional calculus is redefined. The aim of this study is to analyze some spectral properties such as self-adjointness of the operator, structure of all eigenvalues, orthogonality of distinct eigenfunctions, etc. for this system. Moreover, Green's function in multiplicative case is reconstructed for this system.

Keywords

Conformable Dirac system, Multiplicative conformable fractional derivative, Multiplicative conformable fractional integral, Multiplicative Dirac system, Non-Newtonian calculus

First Page

973

Last Page

990

Recommended Citation

GÖKTAŞ, SERTAÇ; KEMALOĞLU, HİKMET; and YILMAZ, EMRAH (2022) "Multiplicative conformable fractional Dirac system," Turkish Journal of Mathematics: Vol. 46: No. 3, Article 21. https://doi.org/10.55730/1300-0098.3136
Available at: https://journals.tubitak.gov.tr/math/vol46/iss3/21