Abstract
We study the existence and global asymptotic behavior of positive continuous solutions to the following nonlinear fractional boundary value problem
(p(lambda))
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where 1 < alpha < 2, D-alpha is the Riemann-Liouville fractional derivative, and lambda, mu and nu are nonnegative constants such that mu + nu > 0.
Our purpose is to give two existence results for the above problem, where f (t, s) is a nonnegative continuous function on (0,1) x [0, infinity), nondecreasing with respect to the second variable and satisfying some appropriate integrability condition. Some examples are given to illustrate our existence results. (C) 2016 All rights reserved.