Positive solutions for a coupled system of nonlinear fractional differential equations

Keyu Zhang; Jiafa Xu; Donal O'Regan

doi:10.1002/mma.3178

Positive solutions for a coupled system of nonlinear fractional differential equations

Keyu Zhang
, Jiafa Xu
, Donal O'Regan

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

7 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1662-1672
Number of pages	11
Journal	Mathematical Methods in the Applied Sciences
Volume	38
Issue number	8
DOIs	https://doi.org/10.1002/mma.3178
Publication status	Published - 30 May 2015

Keywords

Krasnoselskii-Zabreiko fixed point theorem
fractional differential equation
nonnegative matrix
positive solution
power function

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Zhang, KY,Xu, JF,O'Regan, D

Access to Document

10.1002/mma.3178

Cite this

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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.",

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AU - Zhang, Keyu

AU - Xu, Jiafa

AU - O'Regan, Donal

PY - 2015/5/30

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N2 - 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.

AB - 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.

KW - Krasnoselskii-Zabreiko fixed point theorem

KW - fractional differential equation

KW - nonnegative matrix

KW - positive solution

KW - power function

UR - https://www.scopus.com/pages/publications/84928108629

U2 - 10.1002/mma.3178

DO - 10.1002/mma.3178

M3 - Article

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VL - 38

SP - 1662

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JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 8

ER -

Positive solutions for a coupled system of nonlinear fractional differential equations

Abstract

Keywords

Authors (Note for portal: view the doc link for the full list of authors)

Access to Document

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