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A coupled system involving nonlinear fractional q-difference stationary Schrödinger equation

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Abstract

In this paper, we investigate the solvability for a coupled system involving nonlinear fractional q-difference stationary Schrödinger equation. The existence criterion of solutions is established by Schauder fixed point theorem, while the existence of iterative positive solutions is derived by monotone iteration method. As applications, an example is presented to illustrate the main results.

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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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Authors and Affiliations

  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. A coupled system involving nonlinear fractional q-difference stationary Schrödinger equation. J. Appl. Math. Comput. 68, 3317–3325 (2022). https://doi.org/10.1007/s12190-021-01664-0

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  • DOI: https://doi.org/10.1007/s12190-021-01664-0

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