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We are concerned with the existence and uniqueness of positive solutions for the following nonlinear fractional boundary value problem: Da(0+)(alpha) u(t) + f(t, u(t)) = 0, 0 <= t 1, 3 < alpha <= 4, u(0) = u'(0) =u(n)(0) = u(n)(1) = 0, where Da(0+)(alpha) denotes the standard Riemann-Liouville fractional derivative. Our analysis relies on a fixed point theorem in partially ordered sets. Some examples are also given to illustrate the results.

Existence and Uniqueness of Positive Solution for a Boundary Value Problem of Fractional Order