Positive solution for a coupled system of nonlinear fractional differential equations with fractional integral conditions


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.


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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


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