Successive iteration and positive solutions for nonlocal higher-order fractional differential equations with p-Laplacian

摘要

In this paper, we investigate the existence of positive solutions for higher-order fractional differential equations with p-Laplacian operator and nonlocal boundary conditions. By means of the properties of the corresponding Green function together with monotone iterative technique, we obtain not only the existence of positive solutions for the problems, but also establish iterative schemes for approximating the solutions. The nonlinearity permits singularities at t = 0 and/or t = 1.