Unique Solution of a Coupled Fractional Differential System Involving Integral Boundary Conditions from Economic Model

Unique Solution of a Coupled Fractional Differential System Involving Integral Boundary Conditions from Economic Model

We study the existence and uniqueness of the positive solution for the fractional differential system involving the Riemann-Stieltjes integral boundary conditions , , , , , and , where , , and and are the standard Riemann-Liouville derivatives, and are functions of bounded variation, and and d...

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Main Authors: Rui Li, Haoqian Zhang, Hao Tao
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/615707
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spelling doaj-e4042368db7b4f4da86cd1bf588204402020-11-24T22:21:31ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/615707615707Unique Solution of a Coupled Fractional Differential System Involving Integral Boundary Conditions from Economic ModelRui Li0Haoqian Zhang1Hao Tao2Department of Electrical Engineering, North China Electric Power University, Baoding 071003, ChinaDepartment of Management and Economic, North China Electric Power University, Baoding 071003, ChinaSchool of Land Science and Technology, China University of Geosciences, Beijing 100083, ChinaWe study the existence and uniqueness of the positive solution for the fractional differential system involving the Riemann-Stieltjes integral boundary conditions , , , , , and , where , , and and are the standard Riemann-Liouville derivatives, and are functions of bounded variation, and and denote the Riemann-Stieltjes integral. Our results are based on a generalized fixed point theorem for weakly contractive mappings in partially ordered sets.http://dx.doi.org/10.1155/2013/615707
collection DOAJ
language English
format Article
sources DOAJ
author Rui Li
Haoqian Zhang
Hao Tao
spellingShingle Rui Li
Haoqian Zhang
Hao Tao
Unique Solution of a Coupled Fractional Differential System Involving Integral Boundary Conditions from Economic Model
Abstract and Applied Analysis
author_facet Rui Li
Haoqian Zhang
Hao Tao
author_sort Rui Li
title Unique Solution of a Coupled Fractional Differential System Involving Integral Boundary Conditions from Economic Model
title_short Unique Solution of a Coupled Fractional Differential System Involving Integral Boundary Conditions from Economic Model
title_full Unique Solution of a Coupled Fractional Differential System Involving Integral Boundary Conditions from Economic Model
title_fullStr Unique Solution of a Coupled Fractional Differential System Involving Integral Boundary Conditions from Economic Model
title_full_unstemmed Unique Solution of a Coupled Fractional Differential System Involving Integral Boundary Conditions from Economic Model
title_sort unique solution of a coupled fractional differential system involving integral boundary conditions from economic model
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2013-01-01
description We study the existence and uniqueness of the positive solution for the fractional differential system involving the Riemann-Stieltjes integral boundary conditions , , , , , and , where , , and and are the standard Riemann-Liouville derivatives, and are functions of bounded variation, and and denote the Riemann-Stieltjes integral. Our results are based on a generalized fixed point theorem for weakly contractive mappings in partially ordered sets.
url http://dx.doi.org/10.1155/2013/615707
work_keys_str_mv AT ruili uniquesolutionofacoupledfractionaldifferentialsysteminvolvingintegralboundaryconditionsfromeconomicmodel
AT haoqianzhang uniquesolutionofacoupledfractionaldifferentialsysteminvolvingintegralboundaryconditionsfromeconomicmodel
AT haotao uniquesolutionofacoupledfractionaldifferentialsysteminvolvingintegralboundaryconditionsfromeconomicmodel
_version_ 1725770748169027584

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