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Nontrivial Solutions for a System of Fractional q -Difference Equations Involving q -Integral Boundary Conditions

Author

Listed:
  • Yaohong Li

    (School of Mathematics and Statistics, Suzhou University, Suzhou 234000, Anhui, China)

  • Jie Liu

    (School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, Henan, China)

  • Donal O’Regan

    (School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, H91 CF50 Galway, Ireland)

  • Jiafa Xu

    (School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, China)

Abstract

In this paper, we study the existence of nontrivial solutions for a system of fractional q -difference equations involving q -integral boundary conditions, and we use the topological degree to establish our main results by considering the first eigenvalue of some associated linear integral operators.

Suggested Citation

  • Yaohong Li & Jie Liu & Donal O’Regan & Jiafa Xu, 2020. "Nontrivial Solutions for a System of Fractional q -Difference Equations Involving q -Integral Boundary Conditions," Mathematics, MDPI, vol. 8(5), pages 1-13, May.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:5:p:828-:d:360461
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    References listed on IDEAS

    as
    1. Haiyan Zhang & Yaohong Li & Jiafa Xu, 2019. "Positive Solutions for a System of Fractional Integral Boundary Value Problems Involving Hadamard-Type Fractional Derivatives," Complexity, Hindawi, vol. 2019, pages 1-11, October.
    2. Chuanzhi Bai & Dandan Yang, 2020. "The Iterative Positive Solution for a System of Fractional q -Difference Equations with Four-Point Boundary Conditions," Discrete Dynamics in Nature and Society, Hindawi, vol. 2020, pages 1-8, March.
    Full references (including those not matched with items on IDEAS)

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