Existence and uniqueness of solutions for a coupled system of nonlinear fractional differential equations with fractional integral boundary conditions
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Authors
Haiyan Zhang
- School of Mathematics and Statistics, Suzhou University, Suzhou, Anhui 234000, China.
Yaohong Li
- School of Mathematics and Statistics, Suzhou University, Suzhou, Anhui 234000, P. R. China.
Wei Lu
- School of Mathematics and Statistics, Suzhou University, Suzhou, Anhui 234000, P. R. China.
Abstract
This paper investigates the existence and uniqueness of solutions for a coupled system of nonlinear
fractional differential equations with Riemann-Liouville fractional integral boundary conditions. By applying
a variety of fixed point theorems, combining with a new inequality of fractional order form, some sufficient
conditions are established. Some examples are given to illustrate our results.
Share and Cite
ISRP Style
Haiyan Zhang, Yaohong Li, Wei Lu, Existence and uniqueness of solutions for a coupled system of nonlinear fractional differential equations with fractional integral boundary conditions, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 5, 2434--2447
AMA Style
Zhang Haiyan, Li Yaohong, Lu Wei, Existence and uniqueness of solutions for a coupled system of nonlinear fractional differential equations with fractional integral boundary conditions. J. Nonlinear Sci. Appl. (2016); 9(5):2434--2447
Chicago/Turabian Style
Zhang, Haiyan, Li, Yaohong, Lu, Wei. "Existence and uniqueness of solutions for a coupled system of nonlinear fractional differential equations with fractional integral boundary conditions." Journal of Nonlinear Sciences and Applications, 9, no. 5 (2016): 2434--2447
Keywords
- Coupled system
- fractional integral conditions
- Remann-Liouville fractional derivative
- fixed point theorem.
MSC
References
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