Abstract
AbstractIn the present paper, the existence of nontrivial solutions of impulsive fractional differential equations with Dirichlet boundary conditions is studied. We apply Morse theory coupled with local linking arguments to solve the topic, and we prove the existence of at least one nontrivial solution for the impulsive fractional differential equations.
Funder
National Natural Science Foundation of China
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis
Reference29 articles.
1. North-Holland Mathematics Studies;A.A. Kilbas,2006
2. Lakshmikantham, V., Leela, S., Vasundhara, D.J.: Theory of Fractional Dynamic Systems. Cambridge Scientific Publishers, Cambridge (2009)
3. Podlubny, I.: Fractional Differential Equations. Academic Press, New York (1999)
4. Appl. Math. Sci.;J. Mawhin,1989
5. Rabinowitz, P.H.: Minimax Methods in Critical Point Theory with Applications to Differential Equations, CBMS, vol. 65. Am. Math. Soc., Providence (1986)
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