Infinitely many positive solutions for fractional differential inclusions

Abstract

In this article, we study a class of fractional differential inclusions problem. By nonsmooth variational methods and the theory of the fractional derivative spaces, we establish the existence of infinitely many positive solutions of the problem under suitable oscillatory assumptions on the potential $F$ at zero or at infinity.

Keywords

• Fractional differential inclusions
• oscillatory nonlinearities
• infinitely many solutions
• variational methods
• nonsmooth critical point theory