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.

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

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