Existence and Uniqueness of Positive Solutions for a Coupled System of Fractional Differential Equations
In this article, we investigate a boundary value problem for a coupled differential system of fractional order that the nonlinear term depends on the unknown functions as well as their lower order fractional derivatives. Firstly, we give Green’s functions and prove their properties; secondly, the ex...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2022/7779977 |
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| _version_ | 1832551798863298560 |
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| author | Hanying Feng Xiaofeng Zhang |
| author_facet | Hanying Feng Xiaofeng Zhang |
| author_sort | Hanying Feng |
| collection | DOAJ |
| description | In this article, we investigate a boundary value problem for a coupled differential system of fractional order that the nonlinear term depends on the unknown functions as well as their lower order fractional derivatives. Firstly, we give Green’s functions and prove their properties; secondly, the existence and uniqueness of positive solutions are obtained by using some fixed point theorems. In addition, two examples are presented to demonstrate the application of our main results. |
| format | Article |
| id | doaj-art-5196c596c7bc496b917ae0b72f088061 |
| institution | Kabale University |
| issn | 1607-887X |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-5196c596c7bc496b917ae0b72f0880612025-02-03T06:00:27ZengWileyDiscrete Dynamics in Nature and Society1607-887X2022-01-01202210.1155/2022/7779977Existence and Uniqueness of Positive Solutions for a Coupled System of Fractional Differential EquationsHanying Feng0Xiaofeng Zhang1Department of MathematicsDepartment of MathematicsIn this article, we investigate a boundary value problem for a coupled differential system of fractional order that the nonlinear term depends on the unknown functions as well as their lower order fractional derivatives. Firstly, we give Green’s functions and prove their properties; secondly, the existence and uniqueness of positive solutions are obtained by using some fixed point theorems. In addition, two examples are presented to demonstrate the application of our main results.http://dx.doi.org/10.1155/2022/7779977 |
| spellingShingle | Hanying Feng Xiaofeng Zhang Existence and Uniqueness of Positive Solutions for a Coupled System of Fractional Differential Equations Discrete Dynamics in Nature and Society |
| title | Existence and Uniqueness of Positive Solutions for a Coupled System of Fractional Differential Equations |
| title_full | Existence and Uniqueness of Positive Solutions for a Coupled System of Fractional Differential Equations |
| title_fullStr | Existence and Uniqueness of Positive Solutions for a Coupled System of Fractional Differential Equations |
| title_full_unstemmed | Existence and Uniqueness of Positive Solutions for a Coupled System of Fractional Differential Equations |
| title_short | Existence and Uniqueness of Positive Solutions for a Coupled System of Fractional Differential Equations |
| title_sort | existence and uniqueness of positive solutions for a coupled system of fractional differential equations |
| url | http://dx.doi.org/10.1155/2022/7779977 |
| work_keys_str_mv | AT hanyingfeng existenceanduniquenessofpositivesolutionsforacoupledsystemoffractionaldifferentialequations AT xiaofengzhang existenceanduniquenessofpositivesolutionsforacoupledsystemoffractionaldifferentialequations |