Positive solutions for a coupled system of nonlinear fractional differential equations

摘要

Using the Krasnoselskii-Zabreiko fixed point theorem, we establish two existence theorems for positive solutions of a coupled system of nonlinear fractional differential equations. Power functions and nonnegative matrices are used to characterize coupling behavior of our nonlinearities, so nonlinearities may grow differently; in fact, one may grow superlinearly, and the other may grow sublinearly. Copyright (c) 2014 John Wiley & Sons, Ltd.