A coupled non-separated system of Hadamard-type fractional differential equations
In this article, we discuss the existence and uniqueness of solutions of a coupled non-separated system for fractional differential equations involving a Hadamard fractional derivative. The existence and uniqueness results obtained in the present study are not only new but also cover some results...
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| Format: | Article |
| Language: | English |
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ATNAA
2022-01-01
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| Series: | Advances in the Theory of Nonlinear Analysis and its Applications |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/tr/download/article-file/1726099 |
| _version_ | 1797917005951533056 |
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| author | Saleh S. Redhwan Suad Y. Al-Mayyahi Sadikali L. Shaikh Mohammed S. Abdo |
| author_facet | Saleh S. Redhwan Suad Y. Al-Mayyahi Sadikali L. Shaikh Mohammed S. Abdo |
| author_sort | Saleh S. Redhwan |
| collection | DOAJ |
| description | In this article, we discuss the existence and uniqueness of solutions of a coupled non-separated system for
fractional differential equations involving a Hadamard fractional derivative. The existence and uniqueness
results obtained in the present study are not only new but also cover some results corresponding to special
values of the parameters involved in the Caputo problems. These developed results are obtained by applying Banach's fixed point theorem and Leray-Schauder's nonlinear alternative. An example is presented to
illustrate our main results.
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| first_indexed | 2024-04-10T13:07:31Z |
| format | Article |
| id | doaj.art-c11d8bf31a174a25adb1e9f86e02bd6a |
| institution | Directory Open Access Journal |
| issn | 2587-2648 |
| language | English |
| last_indexed | 2024-04-10T13:07:31Z |
| publishDate | 2022-01-01 |
| publisher | ATNAA |
| record_format | Article |
| series | Advances in the Theory of Nonlinear Analysis and its Applications |
| spelling | doaj.art-c11d8bf31a174a25adb1e9f86e02bd6a2023-02-15T16:12:56ZengATNAAAdvances in the Theory of Nonlinear Analysis and its Applications2587-26482022-01-0161334410.31197/atnaa.925365A coupled non-separated system of Hadamard-type fractional differential equationsSaleh S. RedhwanSuad Y. Al-MayyahiSadikali L. ShaikhMohammed S. AbdoIn this article, we discuss the existence and uniqueness of solutions of a coupled non-separated system for fractional differential equations involving a Hadamard fractional derivative. The existence and uniqueness results obtained in the present study are not only new but also cover some results corresponding to special values of the parameters involved in the Caputo problems. These developed results are obtained by applying Banach's fixed point theorem and Leray-Schauder's nonlinear alternative. An example is presented to illustrate our main results. https://dergipark.org.tr/tr/download/article-file/1726099hadamard-type fractional differential equationsfixed point theoremsboundary conditions |
| spellingShingle | Saleh S. Redhwan Suad Y. Al-Mayyahi Sadikali L. Shaikh Mohammed S. Abdo A coupled non-separated system of Hadamard-type fractional differential equations Advances in the Theory of Nonlinear Analysis and its Applications hadamard-type fractional differential equations fixed point theorems boundary conditions |
| title | A coupled non-separated system of Hadamard-type fractional differential equations |
| title_full | A coupled non-separated system of Hadamard-type fractional differential equations |
| title_fullStr | A coupled non-separated system of Hadamard-type fractional differential equations |
| title_full_unstemmed | A coupled non-separated system of Hadamard-type fractional differential equations |
| title_short | A coupled non-separated system of Hadamard-type fractional differential equations |
| title_sort | coupled non separated system of hadamard type fractional differential equations |
| topic | hadamard-type fractional differential equations fixed point theorems boundary conditions |
| url | https://dergipark.org.tr/tr/download/article-file/1726099 |
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