Existence of concave positive solutions for fractional Sturm-Liouville boundary value problems with p-Laplacian
In this paper, by using fixed point theory, we investigate existence and multiplicity of concave positive solutions for the following Sturm-Liouville boundary value problems with p-Laplacian operator {D<sub>0+</sub><sup>α</sup>(φ<sub>p</sub>(D<sub>0</sub><sup>ρ</sup>+v(t))) + g(t, v(t), D<sub>0+</sub><sup>γ</sup>v(t)) = 0 av(0)-bv'(0) = 0, cv(1) + dv'(1) = 0, v"(0) = 0, D<sub>0+</sub><sup>ρ</sup>+v(t)|<sub>t=0</sub> = 0, where φ<sub>p</sub>(s) = |s|<sup>p-2</sup> s, > 1. As an application, an example is given to demonstrate the main result.