Stability and existence the solution for a coupled system of hybrid fractional differential equation with uniqueness
In this literature, we are investigating the existence and uniqueness of solutions for a coupled system of hybrid differential equations with p-Laplacian operator involving the fractional derivatives Caputo and Riemann–Liouville derivatives of various orders. For this purpose, the proposed problem w...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2021-01-01
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| Series: | Arab Journal of Basic and Applied Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1080/25765299.2021.1968617 |
| _version_ | 1818966908182986752 |
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| author | Wadhah Al-Sadi AbdulWasea Alkhazan Tariq Q. S. Abdullah Mohammed Al-Soswa |
| author_facet | Wadhah Al-Sadi AbdulWasea Alkhazan Tariq Q. S. Abdullah Mohammed Al-Soswa |
| author_sort | Wadhah Al-Sadi |
| collection | DOAJ |
| description | In this literature, we are investigating the existence and uniqueness of solutions for a coupled system of hybrid differential equations with p-Laplacian operator involving the fractional derivatives Caputo and Riemann–Liouville derivatives of various orders. For this purpose, the proposed problem will be converted into integral equations by using two Green functions for ], where . The existence of a solution is proved by using topological degree and Leray–Schauder fixed point theorems. Uniqueness of solution is obtained with the help of Banach principle. Some adequate conditions for Hyers–Ulam- stability of the solution also are investigated. To verify the results. An expressive example will be presented to clarify the results. |
| first_indexed | 2024-12-20T13:40:22Z |
| format | Article |
| id | doaj.art-62d308326bdf414fbad356c694942ee2 |
| institution | Directory Open Access Journal |
| issn | 2576-5299 |
| language | English |
| last_indexed | 2024-12-20T13:40:22Z |
| publishDate | 2021-01-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Arab Journal of Basic and Applied Sciences |
| spelling | doaj.art-62d308326bdf414fbad356c694942ee22022-12-21T19:38:50ZengTaylor & Francis GroupArab Journal of Basic and Applied Sciences2576-52992021-01-0128134035010.1080/25765299.2021.19686171968617Stability and existence the solution for a coupled system of hybrid fractional differential equation with uniquenessWadhah Al-Sadi0AbdulWasea Alkhazan1Tariq Q. S. Abdullah2Mohammed Al-Soswa3School of Mathematics and Physics, China University of Geosciences, Wuhan, Hubei, ChinaDepartment of Mathematics, College of Science, Northwestern Polytechnical University, Xi'an, Shannxi, ChinaSchool of Mathematics and Physics, China University of Geosciences, Wuhan, Hubei, ChinaSchool of Information Engineering, Chang′an University, Xi′an, Shannxi, ChinaIn this literature, we are investigating the existence and uniqueness of solutions for a coupled system of hybrid differential equations with p-Laplacian operator involving the fractional derivatives Caputo and Riemann–Liouville derivatives of various orders. For this purpose, the proposed problem will be converted into integral equations by using two Green functions for ], where . The existence of a solution is proved by using topological degree and Leray–Schauder fixed point theorems. Uniqueness of solution is obtained with the help of Banach principle. Some adequate conditions for Hyers–Ulam- stability of the solution also are investigated. To verify the results. An expressive example will be presented to clarify the results.http://dx.doi.org/10.1080/25765299.2021.1968617topological degree theoremfractional differentialhyers–ulam stabilitycaputo’s fractional derivative and riemann–liouville derivatives |
| spellingShingle | Wadhah Al-Sadi AbdulWasea Alkhazan Tariq Q. S. Abdullah Mohammed Al-Soswa Stability and existence the solution for a coupled system of hybrid fractional differential equation with uniqueness Arab Journal of Basic and Applied Sciences topological degree theorem fractional differential hyers–ulam stability caputo’s fractional derivative and riemann–liouville derivatives |
| title | Stability and existence the solution for a coupled system of hybrid fractional differential equation with uniqueness |
| title_full | Stability and existence the solution for a coupled system of hybrid fractional differential equation with uniqueness |
| title_fullStr | Stability and existence the solution for a coupled system of hybrid fractional differential equation with uniqueness |
| title_full_unstemmed | Stability and existence the solution for a coupled system of hybrid fractional differential equation with uniqueness |
| title_short | Stability and existence the solution for a coupled system of hybrid fractional differential equation with uniqueness |
| title_sort | stability and existence the solution for a coupled system of hybrid fractional differential equation with uniqueness |
| topic | topological degree theorem fractional differential hyers–ulam stability caputo’s fractional derivative and riemann–liouville derivatives |
| url | http://dx.doi.org/10.1080/25765299.2021.1968617 |
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