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