Solvability of Some Fractional Boundary Value Problems with a Convection Term

This paper is devoted to the research of some Caputo’s fractional derivative boundary value problems with a convection term. By the use of some fixed-point theorems and the properties of Green function, the existence results of at least one or triple positive solutions are presented. Finally, two ex...

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Main Authors: Yongfang Wei, Zhanbing Bai
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2019/1230502
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author Yongfang Wei
Zhanbing Bai
author_facet Yongfang Wei
Zhanbing Bai
author_sort Yongfang Wei
collection DOAJ
description This paper is devoted to the research of some Caputo’s fractional derivative boundary value problems with a convection term. By the use of some fixed-point theorems and the properties of Green function, the existence results of at least one or triple positive solutions are presented. Finally, two examples are given to illustrate the main results.
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institution Kabale University
issn 1026-0226
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language English
publishDate 2019-01-01
publisher Wiley
record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-686ed09b9e0e478b9b568784a3921d5d2025-02-03T07:26:02ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2019-01-01201910.1155/2019/12305021230502Solvability of Some Fractional Boundary Value Problems with a Convection TermYongfang Wei0Zhanbing Bai1College of Mathematics and System Science, Shandong University of Science and Technology, Qingdao 266590, ChinaCollege of Mathematics and System Science, Shandong University of Science and Technology, Qingdao 266590, ChinaThis paper is devoted to the research of some Caputo’s fractional derivative boundary value problems with a convection term. By the use of some fixed-point theorems and the properties of Green function, the existence results of at least one or triple positive solutions are presented. Finally, two examples are given to illustrate the main results.http://dx.doi.org/10.1155/2019/1230502
spellingShingle Yongfang Wei
Zhanbing Bai
Solvability of Some Fractional Boundary Value Problems with a Convection Term
Discrete Dynamics in Nature and Society
title Solvability of Some Fractional Boundary Value Problems with a Convection Term
title_full Solvability of Some Fractional Boundary Value Problems with a Convection Term
title_fullStr Solvability of Some Fractional Boundary Value Problems with a Convection Term
title_full_unstemmed Solvability of Some Fractional Boundary Value Problems with a Convection Term
title_short Solvability of Some Fractional Boundary Value Problems with a Convection Term
title_sort solvability of some fractional boundary value problems with a convection term
url http://dx.doi.org/10.1155/2019/1230502
work_keys_str_mv AT yongfangwei solvabilityofsomefractionalboundaryvalueproblemswithaconvectionterm
AT zhanbingbai solvabilityofsomefractionalboundaryvalueproblemswithaconvectionterm