Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11171220) and the Innovation Program of Shanghai Municipal Education Commission (Grant No.10ZZ93).
In this paper, we study the multiple positive solutions of integral boundary value problems for a class of $p$-Laplacian differential equations involving the Caputo fractional derivative. Using a fixed point theorem due to Avery and Peterson, we obtain the existence of at least three positive decreasing solutions of the nonlocal boundary value problems. We give an example to illustrate our results.
