Solvability of Boundary Value Problems for Impulsive Fractional Differential Equations Via Critical Point Theory

In this paper, we consider boundary value problems for impulsive fractional differential equations containing left and right Riemann–Liouville fractional integral operators. Variational structure for these problems are established in a proper fractional derivative space, which can be regarded as a novelty item. Some sufficient conditions for the existence of solutions to this boundary value problem for nonlinear impulsive fractional differential equations are established by applying critical point theorems and some skills of inequalities. Finally, two examples are presented to show the feasibility and effectiveness of our results.