Higher order multi-point fractional boundary value problems with integral boundary conditions

Abstract

In this paper, we are concerned with positive solutions for higher order m–point nonlinear fractional boundary value problems with integral boundary conditions. We establish the criteria for the existence of at least one, two and three positive solutions for higher order m–point nonlinear fractional boundary value problems with integral boundary conditions by using some results from the theory of fixed point index, Avery–Henderson fixed point theorem and the Legget–Williams fixed point theorem, respectively. © 2018, Semnan University, Center of Excellence in Nonlinear Analysis and Applications. All rights reserved.