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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Format: | Article |
Language: | English |
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Wiley
2019-01-01
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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. |
format | Article |
id | doaj-art-686ed09b9e0e478b9b568784a3921d5d |
institution | Kabale University |
issn | 1026-0226 1607-887X |
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 |