Muslih, Sami I.Baleanu, DumitruAgrawal, Om P.Baleanu, DumitruMatematik2016-06-092016-06-092010Muslih, S.I., Baleanu, D., Agrawal, O.P. (2010). A fractional schrödinger equation and its solution. International Journal of Theoretical Physics, 49(8), 1746-1752. http://dx.doi.org/ 10.1007/s10773-010-0354-x0020-7748https://doi.org/10.1007/s10773-010-0354-xThis paper presents a fractional Schrodinger equation and its solution. The fractional Schrodinger equation may be obtained using a fractional variational principle and a fractional Klein-Gordon equation; both methods are considered here. We extend the variational formulations for fractional discrete systems to fractional field systems defined in terms of Caputo derivatives to obtain the fractional Euler-Lagrange equations of motion. We present the Lagrangian for the fractional Schrodinger equation of order alpha. We also use a fractional Klein-Gordon equation to obtain the fractional Schrodinger equation which is the same as that obtained using the fractional variational principle. As an example, we consider the eigensolutions of a particle in an infinite potential well. The solutions are obtained in terms of the sines of the Mittag-Leffler function.eninfo:eu-repo/semantics/closedAccessLagrangian And Hamiltonian ApproachArticle4981746175210.1007/s10773-010-0354-x2-s2.0-77955274090WOS:000280640000009Q3Q2