Existence Of Positive Solutions For Boundary Value Problems Of Nonlinear Fractional Coupled Systems

The existence of solutions for the corresponding coupled fractional systems are getting more and more attention, based on the study of solutions for the single frac-tional system. In this paper, motivated by the previous research on the existence of positive solutions for a class singular boundary value problems, we study the the existence of positive solutions of fractional coupled systems. By using the proper-ties of Green function and several related theorems,such as compression mapping theorem, fixed point theorem of cone and the Schauder fixed point theorem, we explore the existence of positive solutions for the fractional order coupled system under different conditions.