Controllability of fractional stochastic evolution inclusion via Hilfer derivative of fixed point theory
In this study, we use the Hilfer derivative to analyze the approximate controllability of fractional stochastic evolution inclusions (FSEIs) with nonlocal conditions. By assuming that the corresponding linear system is approximately controllable, we obtain a novel set of adequate requirements for th...
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| Language: | English |
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AIMS Press
2023-06-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20231014?viewType=HTML |
| _version_ | 1797788552930525184 |
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| author | Abdelkader Moumen Ammar Alsinai Ramsha Shafqat Nafisa A. Albasheir Mohammed Alhagyan Ameni Gargouri Mohammed M. A. Almazah |
| author_facet | Abdelkader Moumen Ammar Alsinai Ramsha Shafqat Nafisa A. Albasheir Mohammed Alhagyan Ameni Gargouri Mohammed M. A. Almazah |
| author_sort | Abdelkader Moumen |
| collection | DOAJ |
| description | In this study, we use the Hilfer derivative to analyze the approximate controllability of fractional stochastic evolution inclusions (FSEIs) with nonlocal conditions. By assuming that the corresponding linear system is approximately controllable, we obtain a novel set of adequate requirements for the approximate controllability of nonlinear FSEIs in meticulous detail. The fixed-point theorem for multi-valued operators and fractional calculus are used to achieve the results. Finally, we use several instances to demonstrate our findings. |
| first_indexed | 2024-03-13T01:38:08Z |
| format | Article |
| id | doaj.art-c4d0106741614f68b61adabd27cd1879 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-13T01:38:08Z |
| publishDate | 2023-06-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-c4d0106741614f68b61adabd27cd18792023-07-04T01:11:12ZengAIMS PressAIMS Mathematics2473-69882023-06-0189198921991210.3934/math.20231014Controllability of fractional stochastic evolution inclusion via Hilfer derivative of fixed point theoryAbdelkader Moumen0Ammar Alsinai1Ramsha Shafqat2Nafisa A. Albasheir 3Mohammed Alhagyan4Ameni Gargouri5Mohammed M. A. Almazah61. Department of Mathematics, Faculty of Sciences, University of Hail, Hail 55425, Saudi Arabia2. Department of mathematics, Kuvempu University, Shivamogga, Karnataka-577451, India3. Department of Mathematics and Statistics, The University of Lahore, Sargodha 40100, Pakistan4. Department of Mathematics, College of Science and Arts (Magardah), King Khalied University, Magardah 61421, Saudi Arabia5. Department of Mathematics, College of Humanities and Science in Al Aflaj, Prince Sattam Bin Abdulaziz University, Saudi Arabia, 119125. Department of Mathematics, College of Humanities and Science in Al Aflaj, Prince Sattam Bin Abdulaziz University, Saudi Arabia, 119126. Department of Mathematics, College of Sciences and Arts (Muhyil), King Khalied University, Muhyil 61421, Saudi ArabiaIn this study, we use the Hilfer derivative to analyze the approximate controllability of fractional stochastic evolution inclusions (FSEIs) with nonlocal conditions. By assuming that the corresponding linear system is approximately controllable, we obtain a novel set of adequate requirements for the approximate controllability of nonlinear FSEIs in meticulous detail. The fixed-point theorem for multi-valued operators and fractional calculus are used to achieve the results. Finally, we use several instances to demonstrate our findings.https://www.aimspress.com/article/doi/10.3934/math.20231014?viewType=HTMLcontrollabilityfractional calculusfsd-inclusionsmulti-valued mapshilfer derivativefixed point theory |
| spellingShingle | Abdelkader Moumen Ammar Alsinai Ramsha Shafqat Nafisa A. Albasheir Mohammed Alhagyan Ameni Gargouri Mohammed M. A. Almazah Controllability of fractional stochastic evolution inclusion via Hilfer derivative of fixed point theory AIMS Mathematics controllability fractional calculus fsd-inclusions multi-valued maps hilfer derivative fixed point theory |
| title | Controllability of fractional stochastic evolution inclusion via Hilfer derivative of fixed point theory |
| title_full | Controllability of fractional stochastic evolution inclusion via Hilfer derivative of fixed point theory |
| title_fullStr | Controllability of fractional stochastic evolution inclusion via Hilfer derivative of fixed point theory |
| title_full_unstemmed | Controllability of fractional stochastic evolution inclusion via Hilfer derivative of fixed point theory |
| title_short | Controllability of fractional stochastic evolution inclusion via Hilfer derivative of fixed point theory |
| title_sort | controllability of fractional stochastic evolution inclusion via hilfer derivative of fixed point theory |
| topic | controllability fractional calculus fsd-inclusions multi-valued maps hilfer derivative fixed point theory |
| url | https://www.aimspress.com/article/doi/10.3934/math.20231014?viewType=HTML |
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