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One-dimensional conformable fractional Dirac system

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, Süleyman Demirel University, 32260, Isparta, Turkey

    Bilender P. Allahverdiev

  2. Department of Mathematics, Mehmet Akif Ersoy University, 15030, Burdur, Turkey

    Hüseyin Tuna

Authors
  1. Bilender P. Allahverdiev
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  2. Hüseyin Tuna
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Correspondence to Hüseyin Tuna.

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Allahverdiev, B.P., Tuna, H. One-dimensional conformable fractional Dirac system. Bol. Soc. Mat. Mex. 26, 121–146 (2020). https://doi.org/10.1007/s40590-019-00235-5

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