Positive solutions for nonlinear Caputo fractional differential equations with integral boundary conditions
In this paper, we consider the properties of Greens function for a class of nonlinear Caputo fractional differential equations with integral boundary conditions by constructing an available integral operator. By means of well-known fixed point theorems and lower and upper solutions method, some new existence and nonexistence criteria of single or multiple positive solutions for fractional differential equation boundary value problems are established. As applications, some interesting examples are presented to illustrate the main results.
integral boundary conditions fixed point theorem lower and upper solutions method nonlinear fractional differential equations 34a08 34b18