Existence results for fractional dirichlet problems of p-Laplacian with instantaneous and non-instantaneous impulses on time scales

Abstract

In this paper, by means of a relation between Riemann-Liouville fractional derivative and Caputo fractional derivative on time scales and with the help of variational methods and critical point theory, we obtain the existence results for a class of fractional Dirichlet problems of p-Laplacian with instantaneous and non-instantaneous impulses on time scales.