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Time-space fractional Schrödinger like equation with a nonlocal term

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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.

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Authors and Affiliations

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

    X.Y. Jiang

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  1. X.Y. Jiang
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Correspondence to X.Y. Jiang.

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Jiang, X. Time-space fractional Schrödinger like equation with a nonlocal term. Eur. Phys. J. Spec. Top. 193, 61–70 (2011). https://doi.org/10.1140/epjst/e2011-01381-7

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  • DOI: https://doi.org/10.1140/epjst/e2011-01381-7

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