One-dimensional conformable fractional Dirac system

Allahverdiev B. , TUNA H.

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, cilt.26, sa.1, ss.121-146, 2020 (ESCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 26 Konu: 1
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s40590-019-00235-5
  • Dergi Adı: BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA
  • Sayfa Sayıları: ss.121-146

Özet

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.