Document Type

Article

Publication Date

2011

Publication Source

Dynamic Systems and Applications

Abstract

In this paper, we study existence and multiplicity results for a coupled system of nonlinear nonlocal boundary value problems for higher order fractional differential equations of the type (see PDF) where (see PDF) is Caputo fractional derivative. We employ the Guo-Krasnosel’skii fixed point theorem to establish existence and multiplicity results for positive solutions. We derive explicit intervals for the parameters _ and μ for which the system possess the positive solutions or multiple positive solutions. Examples are included to show the applicability of the main results.

Inclusive pages

169-182

ISBN/ISSN

1056-2176

Document Version

Published Version

Comments

This document is made available in compliance with the publisher's policy on self-archiving or with the express permission of the publisher. Permission documentation is on file.

Volume

20

Volume

20

Issue

2-3

Peer Reviewed

yes


Included in

Mathematics Commons

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