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Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti, No. 542=24, 2020.

Original scientific paper

https://doi.org/10.21857/mwo1vcjxvy

q-fractional Dirac type systems

Bilender P. Allahverdiev orcid id orcid.org/0000-0002-9315-4652 ; Department of Mathematics, Faculty of Arts and Sciences, Süleyman Demirel University, 32260 Isparta, Turkey
Hüseyin Tuna orcid id orcid.org/0000-0001-7240-8687 ; Department of Mathematics, Faculty of Arts and Sciences, Mehmet Akif Ersoy University, 15030 Burdur, Turkey

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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.

Keywords

q-fractional Dirac operator; eigenvalues; eigenfunctions.

Hrčak ID:

243441

URI

https://hrcak.srce.hr/243441

Publication date:

15.9.2020.

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