Monotone iterative method for nonlinear fractional q-difference equations with integral boundary conditions

@article{Li2015MonotoneIM,
  title={Monotone iterative method for nonlinear fractional q-difference equations with integral boundary conditions},
  author={Yanfeng Li and Wengui Yang},
  journal={Advances in Difference Equations},
  year={2015},
  volume={2015},
  pages={1-10}
}
This paper investigates the existence of positive solutions for a class of nonlinear fractional q-difference equations with integral boundary conditions. By applying monotone iterative method and some inequalities associated with the Green’s function, the existence results of positive solutions and two iterative schemes approximating the solutions are established. An explicit example is given to illustrate the main result. 
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