Abstract
In this paper, we research the existence and uniqueness of positive solutions for a coupled system of fractional differential equations. By means of some standard fixed point principles, some results on the existence and uniqueness of positive solutions for coupled systems are obtained.
Highlights
Fractional differential equations can describe many phenomena in various fields of engineering and scientific disciplines such as control theory, physics, chemistry, biology, economics, mechanics and electromagnetic
There are a large number of papers dealing with the existence of positive solutions of boundary value problems for nonlinear differential equations of fractional order
In [12], Li, Luo and Zhou considered the existence of positive solutions of the following boundary value problem of fractional order differential equations: D0 u(t) f (t u(t)) 0 0 t 1 u(0) 0 D0 u(1) aD0 u( )
Summary
Fractional differential equations can describe many phenomena in various fields of engineering and scientific disciplines such as control theory, physics, chemistry, biology, economics, mechanics and electromagnetic. There are a large number of papers dealing with the existence of positive solutions of boundary value problems for nonlinear differential equations of fractional order. In [30], Yang, Wei and Dong investigated the following existence of positive solutions of fractional order differential equations:. Recently some authors pay close attention to the existence of solutions for coupled systems of fractional differential equations (see[2,3,25,26]). In [26], Su studied the existence of solutions for a coupled system of fractional differential equations: D0 D0. In [25], Sun, Liu and Liu considered the following systems of fractional differential equations with antiperiodic boundary conditions:
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