Existence and uniqueness of solutions for a coupled system of nonlinear fractional differential equations with fractional integral boundary conditions


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.


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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


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