Abstract
Abstract In this article, we consider a nonlinear higher-order m-point fractional boundary-value problem with integral boundary conditions. We establish criteria for the existence of at least one, two and three positive solutions for higher order nonlinear m-point fractional boundary-value problems with integral boundary conditions by using the four functionals fixed point theorem, the Avery-Henderson fixed point theorem and the Legget-Williams fixed point theorem, respectively.
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