4.3 Article

Positive solutions for a system of nonlinear Hadamard fractional differential equations involving coupled integral boundary conditions

Journal

Publisher

SPRINGER
DOI: 10.1186/s13660-019-2156-x

Keywords

Hadamard fractional differential equations; Integral boundary conditions; Positive solutions; Fixed point index

Funding

  1. National Natural Science Foundation of China [11871302, 11601048]
  2. Natural Science Foundation of Chongqing [cstc2016jcyjA0181]
  3. Doctoral Scientific Research Foundation of Qufu Normal University [BSQD20130140]
  4. Youth Foundation of Qufu Normal University [BSQD20130140]
  5. Natural Science Foundation of Chongqing Normal University [16XYY24]

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In this paper we use the fixed point index to study the existence of positive solutions for a system of nonlinear Hadamard fractional differential equations involving coupled integral boundary conditions. Here we use appropriate nonnegative matrices to depict the coupling behavior for our nonlinearities.

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