Existence and Uniqueness of Positive Solutions for Singular Nonlinear Fractional Differential Equation via Mixed Monotone Operator Method
In this article, we discuss the existence and uniqueness of positive solution for a class of singular fractional differential equations, where the nonlinear term contains fractional derivative and an operator. By applying the fixed point theorem in cone, we get the existence and uniqueness of positi...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/2354927 |
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| _version_ | 1832550361318031360 |
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| author | Tian Wang Zhaocai Hao |
| author_facet | Tian Wang Zhaocai Hao |
| author_sort | Tian Wang |
| collection | DOAJ |
| description | In this article, we discuss the existence and uniqueness of positive solution for a class of singular fractional differential equations, where the nonlinear term contains fractional derivative and an operator. By applying the fixed point theorem in cone, we get the existence and uniqueness of positive solutions for the fractional differential equation. Moreover, we give an example to demonstrate our main result. |
| format | Article |
| id | doaj-art-8bbf33e4cf964e128bdd1a3cb8dcfc1f |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-8bbf33e4cf964e128bdd1a3cb8dcfc1f2025-02-03T06:06:55ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/23549272354927Existence and Uniqueness of Positive Solutions for Singular Nonlinear Fractional Differential Equation via Mixed Monotone Operator MethodTian Wang0Zhaocai Hao1School of Mathematical Sciences, Qufu Normal University, Qufu, 273165 Shandong, ChinaSchool of Mathematical Sciences, Qufu Normal University, Qufu, 273165 Shandong, ChinaIn this article, we discuss the existence and uniqueness of positive solution for a class of singular fractional differential equations, where the nonlinear term contains fractional derivative and an operator. By applying the fixed point theorem in cone, we get the existence and uniqueness of positive solutions for the fractional differential equation. Moreover, we give an example to demonstrate our main result.http://dx.doi.org/10.1155/2020/2354927 |
| spellingShingle | Tian Wang Zhaocai Hao Existence and Uniqueness of Positive Solutions for Singular Nonlinear Fractional Differential Equation via Mixed Monotone Operator Method Journal of Function Spaces |
| title | Existence and Uniqueness of Positive Solutions for Singular Nonlinear Fractional Differential Equation via Mixed Monotone Operator Method |
| title_full | Existence and Uniqueness of Positive Solutions for Singular Nonlinear Fractional Differential Equation via Mixed Monotone Operator Method |
| title_fullStr | Existence and Uniqueness of Positive Solutions for Singular Nonlinear Fractional Differential Equation via Mixed Monotone Operator Method |
| title_full_unstemmed | Existence and Uniqueness of Positive Solutions for Singular Nonlinear Fractional Differential Equation via Mixed Monotone Operator Method |
| title_short | Existence and Uniqueness of Positive Solutions for Singular Nonlinear Fractional Differential Equation via Mixed Monotone Operator Method |
| title_sort | existence and uniqueness of positive solutions for singular nonlinear fractional differential equation via mixed monotone operator method |
| url | http://dx.doi.org/10.1155/2020/2354927 |
| work_keys_str_mv | AT tianwang existenceanduniquenessofpositivesolutionsforsingularnonlinearfractionaldifferentialequationviamixedmonotoneoperatormethod AT zhaocaihao existenceanduniquenessofpositivesolutionsforsingularnonlinearfractionaldifferentialequationviamixedmonotoneoperatormethod |