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Positive Solutions for a System of Hadamard-Type Fractional Differential Equations with Semipositone Nonlinearities

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  • Youzheng Ding
  • Jiqiang Jiang
  • Donal O’Regan
  • Jiafa Xu

Abstract

In this paper, we use the fixed-point index and nonnegative matrices to study the existence of positive solutions for a system of Hadamard-type fractional differential equations with semipositone nonlinearities.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:complx:9742418
    DOI: 10.1155/2020/9742418
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    Cited by:

    1. Chenkuan Li & Rekha Srivastava & Kyle Gardiner, 2021. "Analytical Investigation of the Existence of Solutions for a System of Nonlinear Hadamard-Type Integro-Differential Equations Based upon the Multivariate Mittag-Leffler Function," Mathematics, MDPI, vol. 9(21), pages 1-10, October.
    2. 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.

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