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On a nonlinear fractional (p, q)-difference Schrödinger equation

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Abstract

In this paper, we investigate the boundary value problem of a class of fractional (p, q)-difference Schrödinger equations. By applying Banach contraction mapping principle and a fixed point theorem in cones, we obtain the existence and uniqueness of solutions for the boundary value problem. An example illustrating the main results is also presented.

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Acknowledgements

The authors sincerely thank the reviewers for their valuable suggestions and useful comments that have led to the present improved version of the original manuscript.

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  1. School of Mathematical Sciences, University of Jinan, Jinan, 250022, Shandong, People’s Republic of China

    Zhongyun Qin & Shurong Sun

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  1. Zhongyun Qin
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  2. Shurong Sun
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Correspondence to Shurong Sun.

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This research is supported by Shandong Provincial Natural Science Foundation (ZR2020MA016), also supported by the Natural Science Foundation of China (62073153).

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Qin, Z., Sun, S. On a nonlinear fractional (p, q)-difference Schrödinger equation. J. Appl. Math. Comput. 68, 1685–1698 (2022). https://doi.org/10.1007/s12190-021-01586-x

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  • DOI: https://doi.org/10.1007/s12190-021-01586-x

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