摘要：In this paper, we studied the following Caputo fractional difference boundary value problem (FBVP): △ C ν y ( t ) = − f ( t + ν − 1 , y ( t + ν − 1 ) ) $\triangle_{C}^{\nu}y(t)=-f(t+\nu-1, y(t+\nu-1))$ , y ( ν − 3 ) = △ y ( b + ν ) = △ 2 y ( ν − 3 ) = 0 $y(\nu-3)=\triangle y(b+\nu)=\triangle^,y(\nu-3)=0$ , where 2 < ν ⩽ 3 $2<\nu\leqslant3$ is a real number, △ C ν y ( t ) $\triangle_{C}^{\nu}y(t)$ is the standard Caputo difference. By means of cone theoretic fixed point theorems, some results on the existence of one or more positive solutions for the above Caputo fractional boundary value problems are obtained.
关键词：Caputo fractional difference ; boundary value problem ; Green’s function ; existence of positive solution
