Fractional Dirac systems with Mittag-Leffler kernel

Year 2024, Volume: 73 Issue: 1, 1 - 12, 16.03.2024

Bilender Allahverdiev Hüseyin Tuna

https://doi.org/10.31801/cfsuasmas.1298907

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

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