Some inequalities on multi-functions for applying in the fractional Caputo–Hadamard jerk inclusion system
Abstract Results reported in this paper establish the existence of solutions for a class of generalized fractional inclusions based on the Caputo–Hadamard jerk system. Under some inequalities between multi-functions and with the help of special contractions and admissible maps, we investigate the ex...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-06-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-022-02819-8 |
| _version_ | 1811341686858579968 |
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| author | Sina Etemad Iram Iqbal Mohammad Esmael Samei Shahram Rezapour Jehad Alzabut Weerawat Sudsutad Izzet Goksel |
| author_facet | Sina Etemad Iram Iqbal Mohammad Esmael Samei Shahram Rezapour Jehad Alzabut Weerawat Sudsutad Izzet Goksel |
| author_sort | Sina Etemad |
| collection | DOAJ |
| description | Abstract Results reported in this paper establish the existence of solutions for a class of generalized fractional inclusions based on the Caputo–Hadamard jerk system. Under some inequalities between multi-functions and with the help of special contractions and admissible maps, we investigate the existence criteria. Fixed points and end points are key roles in this manuscript, and the approximate property for end points helps us to derive the desired result for existence theory. An example is prepared to demonstrate the consistency and correctness of analytical findings. |
| first_indexed | 2024-04-13T18:57:39Z |
| format | Article |
| id | doaj.art-dfc0e19871584f5f96a3361c90ba0f66 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-04-13T18:57:39Z |
| publishDate | 2022-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-dfc0e19871584f5f96a3361c90ba0f662022-12-22T02:34:11ZengSpringerOpenJournal of Inequalities and Applications1029-242X2022-06-012022112810.1186/s13660-022-02819-8Some inequalities on multi-functions for applying in the fractional Caputo–Hadamard jerk inclusion systemSina Etemad0Iram Iqbal1Mohammad Esmael Samei2Shahram Rezapour3Jehad Alzabut4Weerawat Sudsutad5Izzet Goksel6Department of Mathematics, Azarbaijan Shahid Madani UniversityDepartment of Mathematics, University of SargodhaDepartment of Mathematics, Faculty of Basic Sciences, Bu-Ali Sina UniversityDepartment of Mathematics, Azarbaijan Shahid Madani UniversityDepartment of Mathematics and Sciences, Prince Sultan UniversityDepartment of Statistics, Faculty of Science, Ramkhamhaeng UniversityDepartment of Mathematics, Istanbul Technical UniversityAbstract Results reported in this paper establish the existence of solutions for a class of generalized fractional inclusions based on the Caputo–Hadamard jerk system. Under some inequalities between multi-functions and with the help of special contractions and admissible maps, we investigate the existence criteria. Fixed points and end points are key roles in this manuscript, and the approximate property for end points helps us to derive the desired result for existence theory. An example is prepared to demonstrate the consistency and correctness of analytical findings.https://doi.org/10.1186/s13660-022-02819-8ϕ-ψ-contractionCaputo–Hadamard derivativeEnd pointFixed pointJerk equationMulti-function |
| spellingShingle | Sina Etemad Iram Iqbal Mohammad Esmael Samei Shahram Rezapour Jehad Alzabut Weerawat Sudsutad Izzet Goksel Some inequalities on multi-functions for applying in the fractional Caputo–Hadamard jerk inclusion system Journal of Inequalities and Applications ϕ-ψ-contraction Caputo–Hadamard derivative End point Fixed point Jerk equation Multi-function |
| title | Some inequalities on multi-functions for applying in the fractional Caputo–Hadamard jerk inclusion system |
| title_full | Some inequalities on multi-functions for applying in the fractional Caputo–Hadamard jerk inclusion system |
| title_fullStr | Some inequalities on multi-functions for applying in the fractional Caputo–Hadamard jerk inclusion system |
| title_full_unstemmed | Some inequalities on multi-functions for applying in the fractional Caputo–Hadamard jerk inclusion system |
| title_short | Some inequalities on multi-functions for applying in the fractional Caputo–Hadamard jerk inclusion system |
| title_sort | some inequalities on multi functions for applying in the fractional caputo hadamard jerk inclusion system |
| topic | ϕ-ψ-contraction Caputo–Hadamard derivative End point Fixed point Jerk equation Multi-function |
| url | https://doi.org/10.1186/s13660-022-02819-8 |
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