Novel existence results for sequential Caputo FDE with antiperiodic and integral boundary conditions
In this paper, by assuming certain assumptions, we study a novel class of sequential Caputo fractional differential equations (FDE) Consist of antiperiodic and Riemann-Liouville (R-L) fractional integral boundary conditions. The existence and uniqueness of the solution to the proposed class of probl...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Qom University of Technology
2023-09-01
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| Series: | Mathematics and Computational Sciences |
| Subjects: | |
| Online Access: | https://mcs.qut.ac.ir/article_706420_810f07543794580d53ccf828fe41ca39.pdf |
| _version_ | 1827307641254182912 |
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| author | Abdolhadi Dabbaghian Rahmat Darzi |
| author_facet | Abdolhadi Dabbaghian Rahmat Darzi |
| author_sort | Abdolhadi Dabbaghian |
| collection | DOAJ |
| description | In this paper, by assuming certain assumptions, we study a novel class of sequential Caputo fractional differential equations (FDE) Consist of antiperiodic and Riemann-Liouville (R-L) fractional integral boundary conditions. The existence and uniqueness of the solution to the proposed class of problems utilizing the fixed point theory and some new equalities of norm form are investigated. At the end of the paper, two specific examples of the study results are offered to demonstrate its performance and effectiveness. |
| first_indexed | 2024-03-08T05:35:44Z |
| format | Article |
| id | doaj.art-3e1b12b5ef554135ac991f794c5ec152 |
| institution | Directory Open Access Journal |
| issn | 2717-2708 |
| language | English |
| last_indexed | 2024-04-24T18:43:03Z |
| publishDate | 2023-09-01 |
| publisher | Qom University of Technology |
| record_format | Article |
| series | Mathematics and Computational Sciences |
| spelling | doaj.art-3e1b12b5ef554135ac991f794c5ec1522024-03-27T09:03:28ZengQom University of TechnologyMathematics and Computational Sciences2717-27082023-09-014311210.30511/mcs.2023.1987103.1104706420Novel existence results for sequential Caputo FDE with antiperiodic and integral boundary conditionsAbdolhadi Dabbaghian0Rahmat Darzi1Department of Mathematics, Neka Branch, Islamic Azad University, Neka, IranDepartment of Mathematics, Islamic Azad University, Neka branch, Neka, IranIn this paper, by assuming certain assumptions, we study a novel class of sequential Caputo fractional differential equations (FDE) Consist of antiperiodic and Riemann-Liouville (R-L) fractional integral boundary conditions. The existence and uniqueness of the solution to the proposed class of problems utilizing the fixed point theory and some new equalities of norm form are investigated. At the end of the paper, two specific examples of the study results are offered to demonstrate its performance and effectiveness.https://mcs.qut.ac.ir/article_706420_810f07543794580d53ccf828fe41ca39.pdffractionalsequentialantipriodicexistenceuniqueness |
| spellingShingle | Abdolhadi Dabbaghian Rahmat Darzi Novel existence results for sequential Caputo FDE with antiperiodic and integral boundary conditions Mathematics and Computational Sciences fractional sequential antipriodic existence uniqueness |
| title | Novel existence results for sequential Caputo FDE with antiperiodic and integral boundary conditions |
| title_full | Novel existence results for sequential Caputo FDE with antiperiodic and integral boundary conditions |
| title_fullStr | Novel existence results for sequential Caputo FDE with antiperiodic and integral boundary conditions |
| title_full_unstemmed | Novel existence results for sequential Caputo FDE with antiperiodic and integral boundary conditions |
| title_short | Novel existence results for sequential Caputo FDE with antiperiodic and integral boundary conditions |
| title_sort | novel existence results for sequential caputo fde with antiperiodic and integral boundary conditions |
| topic | fractional sequential antipriodic existence uniqueness |
| url | https://mcs.qut.ac.ir/article_706420_810f07543794580d53ccf828fe41ca39.pdf |
| work_keys_str_mv | AT abdolhadidabbaghian novelexistenceresultsforsequentialcaputofdewithantiperiodicandintegralboundaryconditions AT rahmatdarzi novelexistenceresultsforsequentialcaputofdewithantiperiodicandintegralboundaryconditions |