Existence of solutions for the boundary value problem of non-instantaneous impulsive fractional differential equations with p-Laplacian operator

Abstract

In this paper, we consider a boundary value problem of impulsive fractional differential equations with the nonlinear p-Laplacian operator, where impulses are non-instantaneous. By converting the given problem into an equivalent integral form and applying the Schauder fixed point theorem, we obtain some sufficient conditions for the existence of solutions. An illustrative example is presented to demonstrate the validity of our results.

Keywords

• fractional differential equations
• non-instantaneous impulsive
• p-laplacian operator
• fixed point theorem