Time-space fractional Schrödinger like equation with a nonlocal term

Applications Regular Article

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.

Keywords

European Physical Journal Special Topic Fractional Derivative Fractional Calculus Caputo Fractional Derivative Fractional Quantum 

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Copyright information

© EDP Sciences and Springer 2011

Authors and Affiliations

  1. 1.School of Mathematics, Shandong UniversityJinanPR China

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