Eur. Phys. J. Special Topics 193, 61-70 (2011)
https://doi.org/10.1140/epjst/e2011-01381-7

Regular Article

Time-space fractional Schrödinger like equation with a nonlocal term

School of Mathematics, Shandong University, Jinan 250100, PR China

^a e-mail: wqjxyf@sdu.edu.cn

Received: 1 December 2010
Revised: 27 January 2011
Published online: 4 April 2011

Abstract

In this paper a time-space fractional Schrödinger equation containing a nonlocal term has been studied. The time dependent solutions have been obtained in terms of the H-function. New general results include the results of integer Schrödinger equation with a nonlocal term and the well-known quantum formulae for a free particle kernel.