Abstract
In this paper, we are concerned with the existence and uniqueness of solutions to some coupled systems of higher-order fractional differential equations. By using some fixed point theorems in ordered Banach space, we establish proper conditions under which the considered coupled system dependent on two positive constants has a unique nontrivial solution and the coupled system with two parameters has a unique positive solution. Also we construct iterative scheme for given initial point of the product set to approximate the obtained unique solution. As applications, some specific examples are provided to illustrate our main results.
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