Analytical solution of local fractional Klein-Gordon equation for the generalized Hulthen potential
Mathematical Physics
2017-03-10 v1 math.MP
Abstract
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 non integer order calculus. Fractional order differential equations can be solved analytically by means of this derivative operator. We obtained exact eigenvalue and eigenfunction solutions of local fractional KG equation and investigated the evolution of relativistic effects in correspondence with the fractional order.
Keywords
Cite
@article{arxiv.1703.03234,
title = {Analytical solution of local fractional Klein-Gordon equation for the generalized Hulthen potential},
author = {Hale Karayer and Dogan Demirhan and Fevzi Buyukkilic},
journal= {arXiv preprint arXiv:1703.03234},
year = {2017}
}
Comments
16 pages, 3 figures, 3 tables