Superlinear fractional boundary value problems without the Ambrosetti-Rabinowitz condition

Abstract

In this article, by means of a direct variational approach and the theory of the fractional differential space, we prove the existence of a nontrivial solution for superlinear fractional boundary value problems without Ambrosetti and Rabinowitz condition.

Keywords

• Fractional differential equations
• pseudo-gradient
• nontrivial solutions
• critical point