Abstract: By using fixed point theorems for a class of
generalized concave and convex operators, the positive solution of
nonlinear fractional differential equation with integral boundary
conditions is studied, where n ≥ 3 is an integer, μ is a parameter
and 0 ≤ μ < α. Its existence and uniqueness is proved, and an
iterative scheme is constructed to approximate it. Finally, two
examples are given to illustrate our results.