Geodesic
Infinitely many nontrivial solutions for fractional boundary value problems with impulses and perturbation
Li, Peiluan1 ; Ma, Jianwei2 ; Wang, Hui2 ; Li, Zheqing3
1 Control science and engineering post-doctoral mobile stations, Henan University of Science and Technology, Luoyang, 471023, China;School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, 471023, China
2 College of Information Engineering, Henan University of Science and Technology, Luoyang, 471003, China
3 Network and Information Center, Henan University of Science and Technology, Luoyang, 471003, China
Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 5, p. 2283-2295.

Voir la notice de l'article provenant de la source International Scientific Research Publications

By the variational methods, the existence criteria of infinitely many nontrivial solutions for fractional differential equations with impulses and perturbation are established. An example is given to illustrate main results. Recent results in the literature are generalized and improved.
DOI : 10.22436/jnsa.010.05.01
Classification : 26A33, 34B37, 34K10
Keywords: Fractional differential equations with impulses and perturbation, infinitely many nontrivial solutions, variational methods.

Li, Peiluan 1 ; Ma, Jianwei 2 ; Wang, Hui 2 ; Li, Zheqing 3

1 Control science and engineering post-doctoral mobile stations, Henan University of Science and Technology, Luoyang, 471023, China;School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, 471023, China
2 College of Information Engineering, Henan University of Science and Technology, Luoyang, 471003, China
3 Network and Information Center, Henan University of Science and Technology, Luoyang, 471003, China 
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Li, Peiluan; Ma, Jianwei; Wang, Hui; Li, Zheqing. Infinitely many nontrivial solutions for fractional boundary value problems with impulses and perturbation. Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 5, p. 2283-2295. doi : 10.22436/jnsa.010.05.01. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.010.05.01/

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