In this article we study the existence of positive solutions for the nonlocal multi-point boundary-value problem u′′(t) + f(t,Du(t)) = 0, α ∈ (0, 1), a.e. t ∈ (0, 1), u(0) = 0, u(1) = m X k=1 aku(τk), τk ∈ (a, b) ⊂ (0, 1). We also consider the corresponding integral condition, and the two special cases α = 0 and α = 1.

@inproceedings{ElSayed2013PositiveSF,
title={Positive Solutions for a Nonlocal Multi-point Boundary-value Problem of Fractional and Second Order},
author={Ahmed M. A. El-Sayed and EBTISAM O. BIN-TAHER},
year={2013}
}