# Positive Solutions for Three-Point Boundary Value Problem of Fractional Differential Equation with p-Laplacian Operator

@inproceedings{Yao2014PositiveSF, title={Positive Solutions for Three-Point Boundary Value Problem of Fractional Differential Equation with p-Laplacian Operator}, author={Shang-lin Yao and Guo-hui Wang and Zhi-ping Li and Li-jun Yu}, year={2014} }

- Published 2014

We investigate the existence ofmultiple positive solutions for three-point boundary value problemof fractional differential equation with p-Laplacian operator −Dt β (φp(Dt α x))(t) = h(t)f(t, x(t)), t ∈ (0, 1), x(0) = 0,Dt γ x(1) = aDt γ x(ξ),Dt α x(0) = 0, where Dt β ,Dt α ,Dt γ are the standard Riemann-Liouville derivatives with 1 < α ≤ 2, 0 < β ≤ 1, 0 < γ ≤ 1, 0 ≤ α − γ − 1, ξ ∈ (0, 1) and the constant a is a positive number satisfying aξ ≤ 1 − γ; p-Laplacian operator is defined as φp(s… CONTINUE READING