Solvability of a resonant fractional-order p-Laplacian boundary value problem with two-dimensional kernel

Abstract

The goal of this study is to establish the existence of solutions for a fractionalorder p-Laplacian boundary value problem with a two-dimensional kernel at resonance case. The non-linearity of this problem forced us to transform it into a semilinear system to use the so called Mawhin’s coincidence degree theory. In addition, an example is included to demonstrate the main result.