Positive Solutions for Coupled Nonlinear Fractional Differential Equations

[摘要] We consider the existence of positive solutions for a coupled system of nonlinear fractional differential equations with integral boundary values. Assume the nonlinear term is superlinear in one equation and sublinear in the other equation. By constructing two conesK1,K2and computing the fixed point index in product coneK1×K2, we obtain that the system has a pair of positive solutions. It is remarkable that it is established on the Cartesian product of two cones, in which the feature of two equations can be opposite.

[学科分类] 应用数学