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)

• Publication Type: Article / Article
• Publication Date: 2024
• Doi Number: 10.31801/cfsuasmas.1298907
• Journal Name: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
• Journal Indexes: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
• Page Numbers: pp.1-12
• Azerbaijan State University of Economics (UNEC) Affiliated: No

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.