Opuscula Math. 37, no. 2 (2017), 281-301
http://dx.doi.org/10.7494/OpMath.2017.37.2.281

 
Opuscula Mathematica

Existence of three solutions for impulsive nonlinear fractional boundary value problems

Shapour Heidarkhani
Massimiliano Ferrara
Giuseppe Caristi
Amjad Salari

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.

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Cite this article as:
Shapour Heidarkhani, Massimiliano Ferrara, Giuseppe Caristi, Amjad Salari, Existence of three solutions for impulsive nonlinear fractional boundary value problems, Opuscula Math. 37, no. 2 (2017), 281-301, http://dx.doi.org/10.7494/OpMath.2017.37.2.281

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