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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 73 Issue: 1

Fractional Dirac systems with Mittag-Leffler kernel

Bilender Allahverdiev(Khazar)0000-0002-9315-4652
Hüseyin Tuna(MEHMET AKIF ERSOY UNIVERSITY)0000-0001-7240-8687
Sayfa
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Yayın Tarihi
2024-03-16
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Later, similar results were obtained by considering the discrete state.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we study some fractional Dirac-type systems with the Mittag–Leffler kernel.
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Temel Bulgular & Veri:We extend the basic spectral properties of the ordinary Dirac system to the Dirac-type systems with the Mittag–Leffler kernel.
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Sonuç & Katkı:Later, similar results were obtained by considering the discrete state.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Fractional differential equations · Mittag-Leffler kernel · Dirac systems

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.

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Bu Makaleye Atıf Yap

Allahverdiev, B., Tuna, H. (2024). Fractional Dirac systems with Mittag-Leffler kernel. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 73 Issue: 1. https://doi.org/10.31801/cfsuasmas.1298907

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Kaynakça (14)

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