Positive solutions for a coupled system of nonlinear fractional differential equations | Zendy

Zhang Keyu | Zendy; Xu Jiafa | Zendy; O'Regan Donal | Zendy

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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

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.

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