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


Authors

Wei Cheng - School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, China. Jiafa Xu - School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, China. Yujun Cui - State Key Laboratory of Mining Disaster Prevention and Control Co-founded by Shandong Province, China. - Ministry of Science and Technology, Shandong University of Science and Technology, Qingdao 266590, China.


Abstract

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.


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