Existence And Controllability Results For Fractional Control Systems In Reflexive Banach Spaces Using Fixed Point Theorem
In this paper, a fixed point theorem of nonexpansive mapping is established to study the existence and sufficient conditions for the controllability of nonlinear fractional control systems in reflexive Banach spaces. The result so obtained have been modified and developed in arbitrary space having O...
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| Language: | English |
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University of Baghdad, College of Science for Women
2020-12-01
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| Series: | مجلة بغداد للعلوم |
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| Online Access: | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4531 |
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| author | Naseif Jasim AL-Jawari |
| author_facet | Naseif Jasim AL-Jawari |
| author_sort | Naseif Jasim AL-Jawari |
| collection | DOAJ |
| description | In this paper, a fixed point theorem of nonexpansive mapping is established to study the existence and sufficient conditions for the controllability of nonlinear fractional control systems in reflexive Banach spaces. The result so obtained have been modified and developed in arbitrary space having Opial’s condition by using fixed point theorem deals with nonexpansive mapping defined on a set has normal structure. An application is provided to show the effectiveness of the obtained result. |
| format | Article |
| id | doaj-art-41eb3f0b23ae4391bc6e1c126fa87cb9 |
| institution | Kabale University |
| issn | 2078-8665 2411-7986 |
| language | English |
| publishDate | 2020-12-01 |
| publisher | University of Baghdad, College of Science for Women |
| record_format | Article |
| series | مجلة بغداد للعلوم |
| spelling | doaj-art-41eb3f0b23ae4391bc6e1c126fa87cb92025-08-20T03:34:33ZengUniversity of Baghdad, College of Science for Womenمجلة بغداد للعلوم2078-86652411-79862020-12-0117410.21123/bsj.2020.17.4.1283Existence And Controllability Results For Fractional Control Systems In Reflexive Banach Spaces Using Fixed Point TheoremNaseif Jasim AL-Jawari0Mustansiriyah UniversityIn this paper, a fixed point theorem of nonexpansive mapping is established to study the existence and sufficient conditions for the controllability of nonlinear fractional control systems in reflexive Banach spaces. The result so obtained have been modified and developed in arbitrary space having Opial’s condition by using fixed point theorem deals with nonexpansive mapping defined on a set has normal structure. An application is provided to show the effectiveness of the obtained result.https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4531Controllability, Fixed point, Fractional control system, Normal structure, Opial’s condition. |
| spellingShingle | Naseif Jasim AL-Jawari Existence And Controllability Results For Fractional Control Systems In Reflexive Banach Spaces Using Fixed Point Theorem مجلة بغداد للعلوم Controllability, Fixed point, Fractional control system, Normal structure, Opial’s condition. |
| title | Existence And Controllability Results For Fractional Control Systems In Reflexive Banach Spaces Using Fixed Point Theorem |
| title_full | Existence And Controllability Results For Fractional Control Systems In Reflexive Banach Spaces Using Fixed Point Theorem |
| title_fullStr | Existence And Controllability Results For Fractional Control Systems In Reflexive Banach Spaces Using Fixed Point Theorem |
| title_full_unstemmed | Existence And Controllability Results For Fractional Control Systems In Reflexive Banach Spaces Using Fixed Point Theorem |
| title_short | Existence And Controllability Results For Fractional Control Systems In Reflexive Banach Spaces Using Fixed Point Theorem |
| title_sort | existence and controllability results for fractional control systems in reflexive banach spaces using fixed point theorem |
| topic | Controllability, Fixed point, Fractional control system, Normal structure, Opial’s condition. |
| url | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4531 |
| work_keys_str_mv | AT naseifjasimaljawari existenceandcontrollabilityresultsforfractionalcontrolsystemsinreflexivebanachspacesusingfixedpointtheorem |