Multiple solutions for a class of p-Laplacian type fractional boundary value problems with instantaneous and non-instantaneous impulses

Abstract

In this paper, we study the multiplicity of solutions for a class of p-Laplacian type fractional differential equations with both instantaneous and non-instantaneous impulses. By using the critical points theorem of B. Ricceri, a theorem is developed for the existence of at least three solutions for the impulsive problem depending on two parameters.