Abstract
ABSTRACT In this article, we discuss the existence and uniqueness of solutions to a class of integral boundary value problem of fractional differential equations. Different fractional order derivations are included in the nonlinear term and boundary conditions. The unique solution is derived by a new fixed point theorem of increasing -concave operators defined on ordered sets. Further, we construct a monotone iterative scheme to approximate the unique solution. An example is given to illustrate the validity of our main results.
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