Existence of three classical solutions for impulsive fractional boundary value problem with p-Laplacian

In this paper, we study the existence of at least three distinct solutions for a class of impulsive fractional boundary value problems with p-Laplacian with Dirichlet boundary conditions. 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.

Keywords:

Fractional p-Laplacian , Impulsive effects , Three solutions , Variational methods