4.5 Article

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

Journal

COMPLEXITY
Volume 2019, Issue -, Pages -

Publisher

WILEY-HINDAWI
DOI: 10.1155/2019/2671539

Keywords

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Funding

  1. National Natural Science Foundation of China [11601048]
  2. University Natural Science Foundation of Anhui Provincial Education Department [KJ2017A442, KJ2018A0452]
  3. Natural Science Foundation of Chongqing Normal University [16XYY24]

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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 f(i)(i=1, 2).

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