Existence and Uniqueness of Positive Solutions for a New System of Fractional Differential Equations

By virtue of a recent existing fixed point theorem of increasing φ−h,e-concave operator by Zhai and Wang, we consider the existence and uniqueness of positive solutions for a new system of Caputo-type fractional differential equations with Riemann–Stieltjes integral boundary conditions.

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Main Authors: Hongyu Li, Yang Chen
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2020/2617272
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author Hongyu Li
Yang Chen
author_facet Hongyu Li
Yang Chen
author_sort Hongyu Li
collection DOAJ
description By virtue of a recent existing fixed point theorem of increasing φ−h,e-concave operator by Zhai and Wang, we consider the existence and uniqueness of positive solutions for a new system of Caputo-type fractional differential equations with Riemann–Stieltjes integral boundary conditions.
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publishDate 2020-01-01
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series Discrete Dynamics in Nature and Society
spelling doaj-art-3b5a95f482a14e3190e41e3cee3e333f2025-08-20T02:39:07ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2020-01-01202010.1155/2020/26172722617272Existence and Uniqueness of Positive Solutions for a New System of Fractional Differential EquationsHongyu Li0Yang Chen1College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, Shandong 266590, ChinaCollege of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, Shandong 266590, ChinaBy virtue of a recent existing fixed point theorem of increasing φ−h,e-concave operator by Zhai and Wang, we consider the existence and uniqueness of positive solutions for a new system of Caputo-type fractional differential equations with Riemann–Stieltjes integral boundary conditions.http://dx.doi.org/10.1155/2020/2617272
spellingShingle Hongyu Li
Yang Chen
Existence and Uniqueness of Positive Solutions for a New System of Fractional Differential Equations
Discrete Dynamics in Nature and Society
title Existence and Uniqueness of Positive Solutions for a New System of Fractional Differential Equations
title_full Existence and Uniqueness of Positive Solutions for a New System of Fractional Differential Equations
title_fullStr Existence and Uniqueness of Positive Solutions for a New System of Fractional Differential Equations
title_full_unstemmed Existence and Uniqueness of Positive Solutions for a New System of Fractional Differential Equations
title_short Existence and Uniqueness of Positive Solutions for a New System of Fractional Differential Equations
title_sort existence and uniqueness of positive solutions for a new system of fractional differential equations
url http://dx.doi.org/10.1155/2020/2617272
work_keys_str_mv AT hongyuli existenceanduniquenessofpositivesolutionsforanewsystemoffractionaldifferentialequations
AT yangchen existenceanduniquenessofpositivesolutionsforanewsystemoffractionaldifferentialequations