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

Hasibe Hale KARAYER; Ahmet Doğan DEMİRHAN; Fevzi BÜYÜKKILIÇ

Makale detayları

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

Yazarlar:

Hasibe Hale KARAYER | Ahmet Doğan DEMİRHAN | Fevzi BÜYÜKKILIÇ

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Physics 2017 Vol.41 Issue 6, pp.551-559

Belge Tipi:

Makale

Yayın Tarihi:

11/2017

Belge Dili:

Türkçe

Document ID (Org No.):

2000759538

Sıklık:

İki Aylık

eISSN:

1303-6122

pISSN:

1300-0101

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.

Makale detayları

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

Yazarlar: Hasibe Hale KARAYER | Ahmet Doğan DEMİRHAN | Fevzi BÜYÜKKILIÇ

Yayıncı: TUBITAK

Dergi: Turkish Journal of Physics 2017 Vol.41 Issue 6, pp.551-559

Belge Tipi: Makale

Yayın Tarihi: 11/2017

Belge Dili: Türkçe

Document ID (Org No.): 2000759538

Sıklık: İki Aylık

eISSN: 1303-6122

pISSN: 1300-0101

Sayı

Yazarlar:

Hasibe Hale KARAYER | Ahmet Doğan DEMİRHAN | Fevzi BÜYÜKKILIÇ

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Physics 2017 Vol.41 Issue 6, pp.551-559

Belge Tipi:

Makale

Yayın Tarihi:

11/2017

Belge Dili:

Türkçe

Document ID (Org No.):

2000759538

Sıklık:

İki Aylık

eISSN:

1303-6122

pISSN:

1300-0101