TY - JFULL AU - Chuanyun Gu PY - 2016/3/ TI - Existence and Uniqueness of Positive Solution for Nonlinear Fractional Differential Equation with Integral Boundary Conditions T2 - International Journal of Mathematical and Computational Sciences SP - 82 EP - 86 VL - 10 SN - 1307-6892 UR - https://publications.waset.org/pdf/10004793 PU - World Academy of Science, Engineering and Technology NX - Open Science Index 110, 2016 N2 - 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. ER -