New Results for p-Laplacian Fractional Instantaneous and Noninstantaneous Impulsive Differential Equations

Abstract

The p-Laplacian fractional differential equations have been studied extensively because of their numerous applications in science and engineering. In this study, a class of p-Laplacian fractional differential equations with instantaneous and noninstantaneous impulses is considered. The existence and multiplicity results of solutions are obtained by using variational methods and critical point theory. In addition, some examples are given to prove the feasibility of the proposed results.