Infinitely many solutions to boundary value problems for a coupled system of fractional differential equations
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Authors
Peiluan Li
- School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, 471023, P. R. China.
Hui Wang
- College of Information Engineering, Henan University of Science and Technology, Luoyang, 471003, P. R. China.
Zheqing Li
- Network and Information Center, Henan University of Science and Technology, Luoyang, 471003, P. R. China.
Abstract
Using the variational methods, we investigate the solutions to the boundary value problems for a coupled
system of fractional order differential equations. First, we obtain the existence of at least one weak solution
by the minimization result due to Mawhin and Willem. Then, the existence criteria of infinitely many
solutions are established by a critical point theorem due to Rabinowitz. At last, some examples are also
provided to illustrate the results.
Share and Cite
ISRP Style
Peiluan Li, Hui Wang, Zheqing Li, Infinitely many solutions to boundary value problems for a coupled system of fractional differential equations, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 5, 3433--3444
AMA Style
Li Peiluan, Wang Hui, Li Zheqing, Infinitely many solutions to boundary value problems for a coupled system of fractional differential equations. J. Nonlinear Sci. Appl. (2016); 9(5):3433--3444
Chicago/Turabian Style
Li, Peiluan, Wang, Hui, Li, Zheqing. "Infinitely many solutions to boundary value problems for a coupled system of fractional differential equations." Journal of Nonlinear Sciences and Applications, 9, no. 5 (2016): 3433--3444
Keywords
- Fractional differential equations
- coupled system
- variational method
- infinitely many solutions.
MSC
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