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In this paper, we establish the solvability for integral boundary value problems of fractional differential equation with the nonlinear term dependent in a fractional derivative of lower order on infinite intervals. The existence and uniqueness of solutions for the boundary value problem are proved by means of the Schauder’s fixed point theorem and Banach’s contraction mapping principle. Finally, we give two examples to demonstrate the use of the main results. c ©2016 All rights reserved.

Solvability for integral boundary value problems of fractional differential equation on infinite intervals