Positive Solutions of Fractional Differential Equation with -Laplacian Operator

The basic assumption of ecological economics is that resource allocation exists social optimalsolution, and the social optimal solution and the optimal solution of enterprises can be complementary. The mathematical methods and the ecological model are one of the important means in the study ofecological economics. In this paper, we study an ecological model arising from ecological economics bymathematical method, that is, study the existence of positive solutions for the fractional differential equationwith -Laplacian operator , , , , , and , where are the standard Riemann-Liouville derivatives, -Laplacian operator is defined as , and the nonlinearity may be singular at both and By finding moresuitable upper and lower solutions, we omit some key conditions of some existing works, and the existenceof positive solution is established