Necessary Conditions for the Existence of Global Solutions to Nonlinear Fractional Differential Inequalities and Systems
In this paper, fractional differential inequalities and systems of fractional differential inequalities involving fractional derivatives in the sense of Caputo are investigated. Namely, necessary conditions for the existence of global solutions are obtained. Our approach is based on the test functio...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/4347755 |
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| _version_ | 1832565219842326528 |
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| author | Ibtisam Aldawish Bessem Samet |
| author_facet | Ibtisam Aldawish Bessem Samet |
| author_sort | Ibtisam Aldawish |
| collection | DOAJ |
| description | In this paper, fractional differential inequalities and systems of fractional differential inequalities involving fractional derivatives in the sense of Caputo are investigated. Namely, necessary conditions for the existence of global solutions are obtained. Our approach is based on the test function method and some integral inequalities. |
| format | Article |
| id | doaj-art-3175ee9b7ad54fa79d8a0d5e52cb1cce |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-3175ee9b7ad54fa79d8a0d5e52cb1cce2025-02-03T01:08:58ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/4347755Necessary Conditions for the Existence of Global Solutions to Nonlinear Fractional Differential Inequalities and SystemsIbtisam Aldawish0Bessem Samet1Department of Mathematics and StatisticsDepartment of MathematicsIn this paper, fractional differential inequalities and systems of fractional differential inequalities involving fractional derivatives in the sense of Caputo are investigated. Namely, necessary conditions for the existence of global solutions are obtained. Our approach is based on the test function method and some integral inequalities.http://dx.doi.org/10.1155/2022/4347755 |
| spellingShingle | Ibtisam Aldawish Bessem Samet Necessary Conditions for the Existence of Global Solutions to Nonlinear Fractional Differential Inequalities and Systems Journal of Function Spaces |
| title | Necessary Conditions for the Existence of Global Solutions to Nonlinear Fractional Differential Inequalities and Systems |
| title_full | Necessary Conditions for the Existence of Global Solutions to Nonlinear Fractional Differential Inequalities and Systems |
| title_fullStr | Necessary Conditions for the Existence of Global Solutions to Nonlinear Fractional Differential Inequalities and Systems |
| title_full_unstemmed | Necessary Conditions for the Existence of Global Solutions to Nonlinear Fractional Differential Inequalities and Systems |
| title_short | Necessary Conditions for the Existence of Global Solutions to Nonlinear Fractional Differential Inequalities and Systems |
| title_sort | necessary conditions for the existence of global solutions to nonlinear fractional differential inequalities and systems |
| url | http://dx.doi.org/10.1155/2022/4347755 |
| work_keys_str_mv | AT ibtisamaldawish necessaryconditionsfortheexistenceofglobalsolutionstononlinearfractionaldifferentialinequalitiesandsystems AT bessemsamet necessaryconditionsfortheexistenceofglobalsolutionstononlinearfractionaldifferentialinequalitiesandsystems |