Analytical solution of the local fractional Klein-Gordon equation for generalized Hulthen potential

Küçük Resim Yok

Tarih

2017

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Scientific Technical Research Council Turkey-Tubitak

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

The one-dimensional Klein Gordon (KG) equation is investigated in the domain of conformable fractional calculus for one-dimensional scalar potential, namely generalized Hulthen potential. The conformable fractional calculus is based on conformable fractional derivative, which is the most natural definition in noninteger order calculus. Fractional order differential equations can be solved analytically by means of this derivative operator. We obtained exact eigenvalue and eigenfunction solutions of the local fractional KG equation and investigated the evolution of relativistic effects in correspondence with the fractional order.

Açıklama

Anahtar Kelimeler

Local fractional Klein-Gordon equation, conformable fractional calculus, conformable fractional Nikiforov-Uvarov method, generalized Hulthen potential

Kaynak

Turkish Journal of Physics

WoS Q Değeri

N/A

Scopus Q Değeri

Q3

Cilt

41

Sayı

6

Künye