FRACTIONAL DIRAC SYSTEMS WITH MITTAG-LEFFLER KERNEL

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Allahverd B. P., TUNA H.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, no.1, pp.1-12, 2024 (ESCI)

• Nəşrin Növü: Article / Article
• Nəşr tarixi: 2024
• Doi nömrəsi: 10.31801/cfsuasmas.1298907
• jurnalın adı: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
• Jurnalın baxıldığı indekslər: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
• Səhifə sayı: pp.1-12
• Adres: Yox

Qısa məlumat

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.