Positive solution for a coupled system of nonlinear fractional differential equations with fractional integral conditions
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Authors
Yaohong Li
- Center of Statistical Survey and Advising, Suzhou University, 234000 Anhui, P. R. China.
- School of Mathematics and Statistics, Suzhou University, 234000 Anhui , P. R. China.
Haiyan Zhang
- School of Mathematics and Statistics, Suzhou University, 234000 Anhui, P. R. China.
Abstract
By studying the properties of Green's function, constructing a
special cone and applying fixed point theorem of cone expansion and
compression of norm type, this paper investigates the existence of
at least one and two positive solutions for a coupled system of
nonlinear fractional differential equations involving fractional
integral conditions and derivatives of arbitrary order. Two examples
are given to illustrate our results.
Share and Cite
ISRP Style
Yaohong Li, Haiyan Zhang, Positive solution for a coupled system of nonlinear fractional differential equations with fractional integral conditions, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 10, 5281--5291
AMA Style
Li Yaohong, Zhang Haiyan, Positive solution for a coupled system of nonlinear fractional differential equations with fractional integral conditions. J. Nonlinear Sci. Appl. (2017); 10(10):5281--5291
Chicago/Turabian Style
Li, Yaohong, Zhang, Haiyan. "Positive solution for a coupled system of nonlinear fractional differential equations with fractional integral conditions." Journal of Nonlinear Sciences and Applications, 10, no. 10 (2017): 5281--5291
Keywords
- Positive solution
- fractional differential equations
- fractional integral conditions
- fixed point theorem
MSC
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