Positive Solutions of a Singular Nonlocal Fractional Order Differential System via Schauder’s Fixed Point Theorem

Positive Solutions of a Singular Nonlocal Fractional Order Differential System via Schauder’s Fixed Point Theorem

We establish the existence of positive solutions to a class of singular nonlocal fractional order differential system depending on two parameters. Our methods are based on Schauder’s fixed point theorem.

Bibliographic Details
Main Authors: Xinguang Zhang, Cuiling Mao, Yonghong Wu, Hua Su
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/457965
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spelling doaj-f1f57e8024164e2e97d9184db5be1c002020-11-25T01:11:51ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/457965457965Positive Solutions of a Singular Nonlocal Fractional Order Differential System via Schauder’s Fixed Point TheoremXinguang Zhang0Cuiling Mao1Yonghong Wu2Hua Su3School of Mathematical and Informational Sciences, Yantai University, Yantai, Shandong 264005, ChinaSchool of Mathematical and Informational Sciences, Yantai University, Yantai, Shandong 264005, ChinaDepartment of Mathematics and Statistics, Curtin University of Technology, Perth, WA 6845, AustraliaSchool of Mathematics and Quantitative Economics, Shandong University of Finance and Economics, Jinan, Shandong 250014, ChinaWe establish the existence of positive solutions to a class of singular nonlocal fractional order differential system depending on two parameters. Our methods are based on Schauder’s fixed point theorem.http://dx.doi.org/10.1155/2014/457965
collection DOAJ
language English
format Article
sources DOAJ
author Xinguang Zhang
Cuiling Mao
Yonghong Wu
Hua Su
spellingShingle Xinguang Zhang
Cuiling Mao
Yonghong Wu
Hua Su
Positive Solutions of a Singular Nonlocal Fractional Order Differential System via Schauder’s Fixed Point Theorem
Abstract and Applied Analysis
author_facet Xinguang Zhang
Cuiling Mao
Yonghong Wu
Hua Su
author_sort Xinguang Zhang
title Positive Solutions of a Singular Nonlocal Fractional Order Differential System via Schauder’s Fixed Point Theorem
title_short Positive Solutions of a Singular Nonlocal Fractional Order Differential System via Schauder’s Fixed Point Theorem
title_full Positive Solutions of a Singular Nonlocal Fractional Order Differential System via Schauder’s Fixed Point Theorem
title_fullStr Positive Solutions of a Singular Nonlocal Fractional Order Differential System via Schauder’s Fixed Point Theorem
title_full_unstemmed Positive Solutions of a Singular Nonlocal Fractional Order Differential System via Schauder’s Fixed Point Theorem
title_sort positive solutions of a singular nonlocal fractional order differential system via schauder’s fixed point theorem
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description We establish the existence of positive solutions to a class of singular nonlocal fractional order differential system depending on two parameters. Our methods are based on Schauder’s fixed point theorem.
url http://dx.doi.org/10.1155/2014/457965
work_keys_str_mv AT xinguangzhang positivesolutionsofasingularnonlocalfractionalorderdifferentialsystemviaschaudersfixedpointtheorem
AT cuilingmao positivesolutionsofasingularnonlocalfractionalorderdifferentialsystemviaschaudersfixedpointtheorem
AT yonghongwu positivesolutionsofasingularnonlocalfractionalorderdifferentialsystemviaschaudersfixedpointtheorem
AT huasu positivesolutionsofasingularnonlocalfractionalorderdifferentialsystemviaschaudersfixedpointtheorem
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