Infinitely many nontrivial solutions for fractional boundary value problems with impulses and perturbation

Volume 10, Issue 5, pp 2283--2295 http://dx.doi.org/10.22436/jnsa.010.05.01

Publication Date: May 22, 2017 Submission Date: March 02, 2017

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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.

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Keywords

• Fractional differential equations with impulses and perturbation
• infinitely many nontrivial solutions
• variational methods.

MSC

•  26A33
•  34B37
•  34K10

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