Abstract
In this paper, we obtain some existence results in a Banach space for a multi-point boundary value problem involving a nonlinear fractional differential equation given by
(e)D(q)x(t) = f (t,x(t)), 0 < t < 1, 1 < q <= 2,
alpha(1)x(0) - beta(1)x'(0) - gamma(1)x(eta(1)) + beta(2)x'(1) - gamma 2x(eta(2)), 0 < eta(1,) eta(2) < 1.
Our results are based on contraction mapping principle and Krasnoselskii's fixed point theorem.