One-dimensional conformable fractional Dirac system

Allahverdiev, Bilender; TUNA, HÜSEYİN

doi:10.1007/s40590-019-00235-5

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, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 26 Sayı: 1
Basım Tarihi: 2020
Doi Numarası: 10.1007/s40590-019-00235-5
Dergi Adı: BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA
Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH, DIALNET
Sayfa Sayıları: ss.121-146
Anahtar Kelimeler: Conformable fractional Dirac system, Self-adjoint operator, Eigenvalues and eigenfunctions, Green's matrix, Eigenfunction expansions
Süleyman Demirel Üniversitesi Adresli: Evet

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.