Nontrivial solutions for impulsive fractional differential equations via Morse theory

Yulin Zhao, Haibo Chen and Chengjie Xu

Applied Mathematics and Computation, 2017, vol. 307, issue C, 170-179

Abstract: In this paper we study the existence of nontrivial solutions for an impulsive fractional differential equation with Dirichlet boundary conditions. By using Morse theory coupled with local linking arguments, we obtain some new criteria to guarantee that the impulsive fractional differential equations have at least one nontrivial solution.

Keywords: Morse theory; Impulsive fractional differential equations; Local linking; Nontrivial solution (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:307:y:2017:i:c:p:170-179

DOI: 10.1016/j.amc.2017.02.045

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