Infinitely many solutions for a class of fractional boundary value problem with $p$-Laplacian with impulsive effects

Abstract

The existence of infinitely many solutions for a class of impulsive fractional boundary value problems with $p$-Laplacian with Neumann conditions is established. Our approach is based on recent variational methods for smooth functionals defined on reflexive Banach spaces. One example is presented to demonstrate the application of our main results.