Positive solutions for a coupled system of nonlinear fractional differential equations |
| |
| Authors: | Keyu Zhang Jiafa Xu Donal O'Regan |
| |
| Affiliation: | 1. Department of Mathematics, Qilu Normal University, Jinan 250013, Shandong, China;2. School of Mathematics, Shandong University, Jinan 250100, Shandong, China;3. School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland |
| |
| Abstract: | 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 © 2014 John Wiley & Sons, Ltd. |
| |
| Keywords: | fractional differential equation positive solution Krasnoselskii– Zabreiko fixed point theorem power function nonnegative matrix |
|
|
