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Positive Solutions for a Class of p -Laplacian Hadamard Fractional-Order Three-Point Boundary Value Problems

Author

Listed:
  • Jiafa Xu

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

  • Jiqiang Jiang

    (School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China)

  • Donal O’Regan

    (School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, H91 TK33 Galway, Ireland)

Abstract

In this paper, using the Avery–Henderson fixed point theorem and the monotone iterative technique, we investigate the existence of positive solutions for a class of p -Laplacian Hadamard fractional-order three-point boundary value problems.

Suggested Citation

  • Jiafa Xu & Jiqiang Jiang & Donal O’Regan, 2020. "Positive Solutions for a Class of p -Laplacian Hadamard Fractional-Order Three-Point Boundary Value Problems," Mathematics, MDPI, vol. 8(3), pages 1-13, February.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:3:p:308-:d:325640
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    References listed on IDEAS

    as
    1. Jiqiang Jiang & Donal O’Regan & Jiafa Xu & Yujun Cui, 2019. "Positive Solutions for a Hadamard Fractional p -Laplacian Three-Point Boundary Value Problem," Mathematics, MDPI, vol. 7(5), pages 1-20, May.
    2. 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.
    3. Usman Riaz & Akbar Zada & Zeeshan Ali & Manzoor Ahmad & Jiafa Xu & Zhengqing Fu, 2019. "Analysis of Nonlinear Coupled Systems of Impulsive Fractional Differential Equations with Hadamard Derivatives," Mathematical Problems in Engineering, Hindawi, vol. 2019, pages 1-20, June.
    4. Youzheng Ding & Jiqiang Jiang & Donal O’Regan & Jiafa Xu, 2020. "Positive Solutions for a System of Hadamard-Type Fractional Differential Equations with Semipositone Nonlinearities," Complexity, Hindawi, vol. 2020, pages 1-14, January.
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