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Positive Solutions for a System of Fractional Integral Boundary Value Problems Involving Hadamard-Type Fractional Derivatives

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  • Haiyan Zhang
  • Yaohong Li
  • Jiafa Xu

Abstract

In this paper, we use fixed-point index to study the existence of positive solutions for a system of Hadamard fractional integral boundary value problems involving nonnegative nonlinearities. By virtue of integral-type Jensen inequalities, some appropriate concave and convex functions are used to depict the coupling behaviors for our nonlinearities .

Suggested Citation

  • 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.
    • Handle: RePEc:hin:complx:2671539
    DOI: 10.1155/2019/2671539
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    References listed on IDEAS

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    1. Shuman Meng & Yujun Cui, 2019. "Multiplicity Results to a Conformable Fractional Differential Equations Involving Integral Boundary Condition," Complexity, Hindawi, vol. 2019, pages 1-8, April.
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    Cited by:

    1. 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.
    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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