q-FRACTIONAL DIRAC TYPE SYSTEMS

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Allahverdiev B., TUNA H.

RAD HRVATSKE AKADEMIJE ZNANOSTI I UMJETNOSTI-MATEMATICKE ZNANOSTI, vol.24, no.542, pp.117-130, 2020 (ESCI)

• Publication Type: Article / Article
• Volume: 24 Issue: 542
• Publication Date: 2020
• Doi Number: 10.21857/mwo1vcjxvy
• Journal Name: RAD HRVATSKE AKADEMIJE ZNANOSTI I UMJETNOSTI-MATEMATICKE ZNANOSTI
• Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
• Page Numbers: pp.117-130
• Keywords: q-fractional Dirac operator, eigenvalues, eigenfunctions, Q-INTEGRALS, ANALOGS
• Süleyman Demirel University Affiliated: Yes

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.