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
Volume
20
Issue
2-3
Peer Reviewed
yes
eCommons Citation
Rehman, Mujeeb Ur; Khan, Rahmat Ali; and Eloe, Paul W., "Positive solutions of nonlocal boundary value problem for higher order fractional differential system" (2011). Mathematics Faculty Publications. 85.
https://ecommons.udayton.edu/mth_fac_pub/85
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.