Fractional Dirac systems with Mittag-Leffler kernel

Authors : Bilender Allahverdiev, Hüseyin Tuna

Pages : 1-12

Doi:10.31801/cfsuasmas.1298907

View : 122 | Download : 236

Publication Date : 2024-03-16

Article Type : Research Paper

Abstract :In this paper, we study some fractional Dirac-type systems with the Mittag–Leffler kernel. We extend the basic spectral properties of the ordinary Dirac system to the Dirac-type systems with the Mittag–Leffler kernel. First, this problem was handled in a continuous form. The self-adjointness of the operator produced by this system, the reality of its eigenvalues, and the orthogonality of the eigenfunctions have been investigated. Later, similar results were obtained by considering the discrete state.
Keywords : Fractional differential equations, Mittag Leffler kernel, Dirac systems