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

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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

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10.1002/mma.3178

Cite this

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AU - O'Regan, Donal

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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

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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)

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