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In this paper, by virtue of fixed point index on cones, we obtain two existence theorems of positive solutions for a system of nonlinear semipositone fractional q-difference equations with q-integral boundary conditions. Concave functions and nonnegative matrices are used to characterize the coupling behavior of our nonlinearities. c ©2017 All rights reserved.

Positive solutions for a system of nonlinear semipositone fractional q q-difference equations with q q-integral boundary conditions