Multiplicative conformable fractional Dirac system

Authors

SERTAÇ GÖKTAŞ
HİKMET KEMALOĞLU
EMRAH YILMAZ

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.

DOI

10.55730/1300-0098.3136

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