Opuscula Math. 37, no. 2 (2017), 281-301
Existence of three solutions for impulsive nonlinear fractional boundary value problems
Abstract. In this work we present new criteria on the existence of three solutions for a class of impulsive nonlinear fractional boundary-value problems depending on two parameters. We use variational methods for smooth functionals defined on reflexive Banach spaces in order to achieve our results.
Keywords: fractional differential equation, impulsive condition, classical solution, variational methods, critical point theory.
Mathematics Subject Classification: 34A08, 34B37, 58E05, 58E30, 26A33.