Infinitely many solutions for a class of nonlinear fractional equations with impulsive effects

The existence of infinitely many solutions for a class of impulsive fractional boundary value problems is established. Our approach is based on recent variational methods for smooth functionals defined on reflexive Banach spaces. Some recent results are extended and improved. One example is given in this paper to illustrate the main results.

Keywords:

Fractional differential equations , Impulsive effects , Infinitely many solutions , Variational methods