Existence and stability results for delay fractional deferential equations with applications
Developing a model of fractional differential systems and studying the existence and stability of a solution is considered one of the most important topics in the field of analysis. Therefore, this manuscript was dedicated to presenting a hybrid system of delay fractional differential equations with...
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| Format: | Article |
| Language: | English |
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Elsevier
2024-04-01
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| Series: | Alexandria Engineering Journal |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016824001996 |
| _version_ | 1797238029221363712 |
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| author | Hasanen A. Hammad Najla M. Aloraini Mahmoud Abdel-Aty |
| author_facet | Hasanen A. Hammad Najla M. Aloraini Mahmoud Abdel-Aty |
| author_sort | Hasanen A. Hammad |
| collection | DOAJ |
| description | Developing a model of fractional differential systems and studying the existence and stability of a solution is considered one of the most important topics in the field of analysis. Therefore, this manuscript was dedicated to presenting a hybrid system of delay fractional differential equations with boundary integral conditions, namely Atangana-Baleanu-Caputo (ABC) differential equations. Also, the fixed point (FP) technique has been applied to investigate the existence of solutions for the proposed hybrid system. Moreover, stability results have been studied for the solution of the desired system in the sense of Hyers-Ulam (HU). Finally, to support our findings, we provide two examples with different parameter values. |
| first_indexed | 2024-03-07T14:29:51Z |
| format | Article |
| id | doaj.art-320a34c17bae4f01a27f412238ba8ee0 |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-04-24T17:29:08Z |
| publishDate | 2024-04-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-320a34c17bae4f01a27f412238ba8ee02024-03-28T06:37:10ZengElsevierAlexandria Engineering Journal1110-01682024-04-0192185198Existence and stability results for delay fractional deferential equations with applicationsHasanen A. Hammad0Najla M. Aloraini1Mahmoud Abdel-Aty2Department of Mathematics, College of Sciences, Qassim University, Buraydah 52571, Saudi Arabia; Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt; Corresponding author.Department of Mathematics, College of Sciences, Qassim University, Buraydah 52571, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt; Department of Computer Science and Information Engineering, Chung Hua University, Hsinchu, 30012, Taiwan (Province of China); Deanship of Graduate Studies and Research, Ahlia University, P.O. Box 10878 Manama, BahrainDeveloping a model of fractional differential systems and studying the existence and stability of a solution is considered one of the most important topics in the field of analysis. Therefore, this manuscript was dedicated to presenting a hybrid system of delay fractional differential equations with boundary integral conditions, namely Atangana-Baleanu-Caputo (ABC) differential equations. Also, the fixed point (FP) technique has been applied to investigate the existence of solutions for the proposed hybrid system. Moreover, stability results have been studied for the solution of the desired system in the sense of Hyers-Ulam (HU). Finally, to support our findings, we provide two examples with different parameter values.http://www.sciencedirect.com/science/article/pii/S1110016824001996Delay fractional differential equationFixed point approachesHyers-Ulam stabilityBoundary integral condition |
| spellingShingle | Hasanen A. Hammad Najla M. Aloraini Mahmoud Abdel-Aty Existence and stability results for delay fractional deferential equations with applications Alexandria Engineering Journal Delay fractional differential equation Fixed point approaches Hyers-Ulam stability Boundary integral condition |
| title | Existence and stability results for delay fractional deferential equations with applications |
| title_full | Existence and stability results for delay fractional deferential equations with applications |
| title_fullStr | Existence and stability results for delay fractional deferential equations with applications |
| title_full_unstemmed | Existence and stability results for delay fractional deferential equations with applications |
| title_short | Existence and stability results for delay fractional deferential equations with applications |
| title_sort | existence and stability results for delay fractional deferential equations with applications |
| topic | Delay fractional differential equation Fixed point approaches Hyers-Ulam stability Boundary integral condition |
| url | http://www.sciencedirect.com/science/article/pii/S1110016824001996 |
| work_keys_str_mv | AT hasanenahammad existenceandstabilityresultsfordelayfractionaldeferentialequationswithapplications AT najlamaloraini existenceandstabilityresultsfordelayfractionaldeferentialequationswithapplications AT mahmoudabdelaty existenceandstabilityresultsfordelayfractionaldeferentialequationswithapplications |