Rad HAZU, Matematičke znanosti, Vol. 24 (2020), 117-130.

q-FRACTIONAL DIRAC TYPE SYSTEMS

Bilender P. Allahverdiev and Hüseyin Tuna

Department of Mathematics, Faculty of Arts and Sciences, Süleyman Demirel University, 32260 Isparta, Turkey
e-mail: bilenderpasaoglu@sdu.edu.tr

Department of Mathematics, Faculty of Arts and Sciences, Mehmet Akif Ersoy University, 15030 Burdur, Turkey
e-mail: hustuna@gmail.com

Abstract.   This paper is devoted to study a regular q-fractional Dirac type system. We investigate the properties of the eigenvalues and the eigenfunctions of this system. By using a fixed point theorem we give a sufficient condition on eigenvalues for the existence and uniqueness of the associated eigenfunctions.

2020 Mathematics Subject Classification.   39A13, 34L40, 34L10, 26A33.

Key words and phrases.   q-fractional Dirac operator, eigenvalues, eigenfunctions.

Full text (PDF) (free access)

DOI: https://doi.org/10.21857/mwo1vcjxvy

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