EXISTENCE AND NONEXISTENCE OF SOLUTIONS FOR A CLASS OF p-LAPLACIAN-TYPE FRACTIONAL FOUR-POINT BOUNDARY-VALUE PROBLEMS WITH A PARAMETER

Abstract

We discuss a class of $p$-Laplacian-type fractional four-point boundary-value problems with a parameter. We use the Green’s function, the Schauder fixed-point theorem and the Guo–Krasnoselskii fixed-point theorem on cones. Some examples are presented to show the validity of the conditions of our main theorem.