Infinitely many nontrivial solutions for fractional boundary value problems with impulses and perturbation
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Authors
Peiluan Li
- 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.
Jianwei Ma
- College of Information Engineering, Henan University of Science and Technology, Luoyang, 471003, China.
Hui Wang
- College of Information Engineering, Henan University of Science and Technology, Luoyang, 471003, China.
Zheqing Li
- Network and Information Center, Henan University of Science and Technology, Luoyang, 471003, China.
Abstract
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.
Share and Cite
ISRP Style
Peiluan Li, Jianwei Ma, Hui Wang, Zheqing Li, Infinitely many nontrivial solutions for fractional boundary value problems with impulses and perturbation, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 5, 2283--2295
AMA Style
Li Peiluan, Ma Jianwei, Wang Hui, Li Zheqing, Infinitely many nontrivial solutions for fractional boundary value problems with impulses and perturbation. J. Nonlinear Sci. Appl. (2017); 10(5):2283--2295
Chicago/Turabian Style
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 Applications, 10, no. 5 (2017): 2283--2295
Keywords
- Fractional differential equations with impulses and perturbation
- infinitely many nontrivial solutions
- variational methods.
MSC
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