Premium
Positive solutions for a coupled system of nonlinear fractional differential equations
Author(s) -
Zhang Keyu,
Xu Jiafa,
O'Regan Donal
Publication year - 2014
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3178
Subject(s) - mathematics , nonlinear system , fixed point theorem , differential equation , mathematical analysis , fixed point , quantum mechanics , physics
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.