Influence of noninstantaneous impulsive on null controllability of Atangana–Baleanu fractional stochastic differential equations
Abstract This study explores the sufficient conditions for the null controllability of noninstantaneous impulsive Atangana–Baleanu fractional stochastic differential equations with Poisson jumps in a Hilbert space. Leveraging fractional analysis, compact semigroup theory, fixed point theorems, and s...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-05-01
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| Series: | Journal of Inequalities and Applications |
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| Online Access: | https://doi.org/10.1186/s13660-025-03307-5 |
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| author | M. Elsaid Ramadan Mahmoud M. El-Borai Taher A. Nofal Adel Darwish Hamdy M. Ahmed |
| author_facet | M. Elsaid Ramadan Mahmoud M. El-Borai Taher A. Nofal Adel Darwish Hamdy M. Ahmed |
| author_sort | M. Elsaid Ramadan |
| collection | DOAJ |
| description | Abstract This study explores the sufficient conditions for the null controllability of noninstantaneous impulsive Atangana–Baleanu fractional stochastic differential equations with Poisson jumps in a Hilbert space. Leveraging fractional analysis, compact semigroup theory, fixed point theorems, and stochastic analysis, we establish fundamental results that deepen the understanding of null controllability in complex stochastic systems. To demonstrate the applicability of our findings, we present a detailed example. |
| format | Article |
| id | doaj-art-0ab0878ff0b945abbd91d7a43d5888cb |
| institution | DOAJ |
| issn | 1029-242X |
| language | English |
| publishDate | 2025-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj-art-0ab0878ff0b945abbd91d7a43d5888cb2025-08-20T03:07:57ZengSpringerOpenJournal of Inequalities and Applications1029-242X2025-05-012025112010.1186/s13660-025-03307-5Influence of noninstantaneous impulsive on null controllability of Atangana–Baleanu fractional stochastic differential equationsM. Elsaid Ramadan0Mahmoud M. El-Borai1Taher A. Nofal2Adel Darwish3Hamdy M. Ahmed4Department of Mathematics, Faculty of Science, Islamic University of MadinahDepartment of Mathematics, Faculty of Science, Alexandria UniversityDepartment of Mathematics, College of Science, Taif UniversityDepartment of Mathematics, Faculty of Science, Helwan UniversityDepartment of Physics and Engineering Mathematics, Higher Institute of Engineering, El Shorouk AcademyAbstract This study explores the sufficient conditions for the null controllability of noninstantaneous impulsive Atangana–Baleanu fractional stochastic differential equations with Poisson jumps in a Hilbert space. Leveraging fractional analysis, compact semigroup theory, fixed point theorems, and stochastic analysis, we establish fundamental results that deepen the understanding of null controllability in complex stochastic systems. To demonstrate the applicability of our findings, we present a detailed example.https://doi.org/10.1186/s13660-025-03307-5Fractional analysisStochastic systemControl theoryNoninstantaneous impulsive |
| spellingShingle | M. Elsaid Ramadan Mahmoud M. El-Borai Taher A. Nofal Adel Darwish Hamdy M. Ahmed Influence of noninstantaneous impulsive on null controllability of Atangana–Baleanu fractional stochastic differential equations Journal of Inequalities and Applications Fractional analysis Stochastic system Control theory Noninstantaneous impulsive |
| title | Influence of noninstantaneous impulsive on null controllability of Atangana–Baleanu fractional stochastic differential equations |
| title_full | Influence of noninstantaneous impulsive on null controllability of Atangana–Baleanu fractional stochastic differential equations |
| title_fullStr | Influence of noninstantaneous impulsive on null controllability of Atangana–Baleanu fractional stochastic differential equations |
| title_full_unstemmed | Influence of noninstantaneous impulsive on null controllability of Atangana–Baleanu fractional stochastic differential equations |
| title_short | Influence of noninstantaneous impulsive on null controllability of Atangana–Baleanu fractional stochastic differential equations |
| title_sort | influence of noninstantaneous impulsive on null controllability of atangana baleanu fractional stochastic differential equations |
| topic | Fractional analysis Stochastic system Control theory Noninstantaneous impulsive |
| url | https://doi.org/10.1186/s13660-025-03307-5 |
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