Positive Solutions for Multi-Order Nonlinear Fractional Systems

In this paper, we study the existence of positive solutions for a class of multi-order systems of fractional differential equations with nonlocal conditions. The main tool used is Schauder fixed point theorem and upper and lower solutions method. The results obtained are illustrated by a numerical e...

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Main Authors: A. Guezane-Lakoud, R. Khaldi
Format: Article
Language:English
Published: Etamaths Publishing 2017-09-01
Series:International Journal of Analysis and Applications
Online Access:http://www.etamaths.com/index.php/ijaa/article/view/1318
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author A. Guezane-Lakoud
R. Khaldi
author_facet A. Guezane-Lakoud
R. Khaldi
author_sort A. Guezane-Lakoud
collection DOAJ
description In this paper, we study the existence of positive solutions for a class of multi-order systems of fractional differential equations with nonlocal conditions. The main tool used is Schauder fixed point theorem and upper and lower solutions method. The results obtained are illustrated by a numerical example.
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spelling doaj.art-4bd72e55c2204bcb860c4b9c1217e6742022-12-22T00:02:26ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392017-09-011511822267Positive Solutions for Multi-Order Nonlinear Fractional SystemsA. Guezane-Lakoud0R. Khaldi1Badji Mokhtar Annaba UniversityBadji Mokhtar Annaba UniversityIn this paper, we study the existence of positive solutions for a class of multi-order systems of fractional differential equations with nonlocal conditions. The main tool used is Schauder fixed point theorem and upper and lower solutions method. The results obtained are illustrated by a numerical example.http://www.etamaths.com/index.php/ijaa/article/view/1318
spellingShingle A. Guezane-Lakoud
R. Khaldi
Positive Solutions for Multi-Order Nonlinear Fractional Systems
International Journal of Analysis and Applications
title Positive Solutions for Multi-Order Nonlinear Fractional Systems
title_full Positive Solutions for Multi-Order Nonlinear Fractional Systems
title_fullStr Positive Solutions for Multi-Order Nonlinear Fractional Systems
title_full_unstemmed Positive Solutions for Multi-Order Nonlinear Fractional Systems
title_short Positive Solutions for Multi-Order Nonlinear Fractional Systems
title_sort positive solutions for multi order nonlinear fractional systems
url http://www.etamaths.com/index.php/ijaa/article/view/1318
work_keys_str_mv AT aguezanelakoud positivesolutionsformultiordernonlinearfractionalsystems
AT rkhaldi positivesolutionsformultiordernonlinearfractionalsystems