Abstract
In this paper, we apply Morse theory, local linking arguments and the Clark theorem to a study of the multiplicity of nontrivial solutions for a class of impulsive fractional differential equations with Dirichlet boundary conditions.
Highlights
Since the variational methods were used to deal with the existence of solutions for fractional differential equations by many authors
1 Introduction This paper focuses on the following fractional differential equations with impulsive effects:
We present some properties of the fractional derivative space E0α
Summary
Since the variational methods were used to deal with the existence of solutions for fractional differential equations by many authors. In the last few years, Morse theory has been recently used to deal with the existence of solutions for impulsive differential equations [19,20,21,22] having the corresponding variational structure. The authors established some new results on the existence of three nontrivial solutions for problems (1.2) via Morse theory.
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