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

Yıl 2017, Cilt 41, Sayı 6, 551 - 559, 01.12.2017

Öz

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.

Yıl 2017, Cilt 41, Sayı 6, 551 - 559, 01.12.2017

Öz

Ayrıntılar

Bölüm Makaleler
Yazarlar

Hasibe Hale KARAYER Bu kişi benim


Ahmet Doğan DEMİRHAN Bu kişi benim


Fevzi BÜYÜKKILIÇ Bu kişi benim

Yayımlanma Tarihi 1 Aralık 2017
Yayınlandığı Sayı Yıl 2017, Cilt 41, Sayı 6

Kaynak Göster

Bibtex @ { tbtkphysics401969, journal = {Turkish Journal of Physics}, issn = {1300-0101}, eissn = {1303-6122}, address = {}, publisher = {TÜBİTAK}, year = {2017}, volume = {41}, number = {6}, pages = {551 - 559}, title = {Analytical solution of the local fractional Klein-Gordon equation for generalized Hulthen potential}, key = {cite}, author = {Karayer, Hasibe Hale and Demirhan, Ahmet Doğan and Büyükkılıç, Fevzi} }
APA Karayer, H. H. , Demirhan, A. D. & Büyükkılıç, F. (2017). Analytical solution of the local fractional Klein-Gordon equation for generalized Hulthen potential . Turkish Journal of Physics , 41 (6) , 551-559 . Retrieved from https://dergipark.org.tr/tr/pub/tbtkphysics/issue/35854/401969
MLA Karayer, H. H. , Demirhan, A. D. , Büyükkılıç, F. "Analytical solution of the local fractional Klein-Gordon equation for generalized Hulthen potential" . Turkish Journal of Physics 41 (2017 ): 551-559 <https://dergipark.org.tr/tr/pub/tbtkphysics/issue/35854/401969>
Chicago Karayer, H. H. , Demirhan, A. D. , Büyükkılıç, F. "Analytical solution of the local fractional Klein-Gordon equation for generalized Hulthen potential". Turkish Journal of Physics 41 (2017 ): 551-559
RIS TY - JOUR T1 - Analytical solution of the local fractional Klein-Gordon equation for generalized Hulthen potential AU - Hasibe HaleKarayer, Ahmet DoğanDemirhan, FevziBüyükkılıç Y1 - 2017 PY - 2017 N1 - DO - T2 - Turkish Journal of Physics JF - Journal JO - JOR SP - 551 EP - 559 VL - 41 IS - 6 SN - 1300-0101-1303-6122 M3 - UR - Y2 - 2022 ER -
EndNote %0 Turkish Journal of Physics Analytical solution of the local fractional Klein-Gordon equation for generalized Hulthen potential %A Hasibe Hale Karayer , Ahmet Doğan Demirhan , Fevzi Büyükkılıç %T Analytical solution of the local fractional Klein-Gordon equation for generalized Hulthen potential %D 2017 %J Turkish Journal of Physics %P 1300-0101-1303-6122 %V 41 %N 6 %R %U
ISNAD Karayer, Hasibe Hale , Demirhan, Ahmet Doğan , Büyükkılıç, Fevzi . "Analytical solution of the local fractional Klein-Gordon equation for generalized Hulthen potential". Turkish Journal of Physics 41 / 6 (Aralık 2017): 551-559 .
AMA Karayer H. H. , Demirhan A. D. , Büyükkılıç F. Analytical solution of the local fractional Klein-Gordon equation for generalized Hulthen potential. Turkish Journal of Physics. 2017; 41(6): 551-559.
Vancouver Karayer H. H. , Demirhan A. D. , Büyükkılıç F. Analytical solution of the local fractional Klein-Gordon equation for generalized Hulthen potential. Turkish Journal of Physics. 2017; 41(6): 551-559.
IEEE H. H. Karayer , A. D. Demirhan ve F. Büyükkılıç , "Analytical solution of the local fractional Klein-Gordon equation for generalized Hulthen potential", Turkish Journal of Physics, c. 41, sayı. 6, ss. 551-559, Ara. 2017