One-dimensional conformable fractional Dirac system

  • Bilender P. Allahverdiev
  • Hüseyin TunaEmail author
Original Article


In this article, we consider a conformable fractional Dirac system. We prove an existence and uniqueness theorem for this system and formulate a self-adjoint boundary-value problem. We also construct the associated Green matrix of the conformable fractional Dirac system, and we give the eigenfunction expansions. Finally, we give some examples.


Conformable fractional Dirac system Self-adjoint operator Eigenvalues and eigenfunctions Green’s matrix Eigenfunction expansions 

Mathematics Subject Classification

34A08 26A33 34L10 34L40 47A10 47B25 



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Copyright information

© Sociedad Matemática Mexicana 2019

Authors and Affiliations

  1. 1.Department of MathematicsSüleyman Demirel UniversityIspartaTurkey
  2. 2.Department of MathematicsMehmet Akif Ersoy UniversityBurdurTurkey

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