Trajectory Controllability of Fractional Neutral Stochastic Dynamical Systems of Order α∈1,2 With Deviating Argument
In this manuscript, we establish existence, uniqueness, and trajectory controllability for higher order noninstantaneous impulsive fractional neutral stochastic differential equations. First, solvability and uniqueness results are obtained using a fixed-point approach with appropriate assumptions on...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2025-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/jama/2539363 |
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| _version_ | 1850135406835662848 |
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| author | Dhanalakshmi Kasinathan Ravikumar Kasinathan Ramkumar Kasinathan Karthikeyan Shanmugasundaram Dimplekumar Chalishajar |
| author_facet | Dhanalakshmi Kasinathan Ravikumar Kasinathan Ramkumar Kasinathan Karthikeyan Shanmugasundaram Dimplekumar Chalishajar |
| author_sort | Dhanalakshmi Kasinathan |
| collection | DOAJ |
| description | In this manuscript, we establish existence, uniqueness, and trajectory controllability for higher order noninstantaneous impulsive fractional neutral stochastic differential equations. First, solvability and uniqueness results are obtained using a fixed-point approach with appropriate assumptions on nonlinear functions. Next, we deal with the strongest notion of controllability called the trajectory controllability for noninstantaneous impulsive fractional neutral stochastic differential equations via Gronwall’s inequality. The higher order fractional system with the deviating argument is the novel approach of this manuscript. Finally, a demonstration of an example yields theoretical outcomes. |
| format | Article |
| id | doaj-art-adda30b2aaef4f1a854c0ba63e76325b |
| institution | OA Journals |
| issn | 1687-0042 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-adda30b2aaef4f1a854c0ba63e76325b2025-08-20T02:31:26ZengWileyJournal of Applied Mathematics1687-00422025-01-01202510.1155/jama/2539363Trajectory Controllability of Fractional Neutral Stochastic Dynamical Systems of Order α∈1,2 With Deviating ArgumentDhanalakshmi Kasinathan0Ravikumar Kasinathan1Ramkumar Kasinathan2Karthikeyan Shanmugasundaram3Dimplekumar Chalishajar4Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of Applied MathematicsIn this manuscript, we establish existence, uniqueness, and trajectory controllability for higher order noninstantaneous impulsive fractional neutral stochastic differential equations. First, solvability and uniqueness results are obtained using a fixed-point approach with appropriate assumptions on nonlinear functions. Next, we deal with the strongest notion of controllability called the trajectory controllability for noninstantaneous impulsive fractional neutral stochastic differential equations via Gronwall’s inequality. The higher order fractional system with the deviating argument is the novel approach of this manuscript. Finally, a demonstration of an example yields theoretical outcomes.http://dx.doi.org/10.1155/jama/2539363 |
| spellingShingle | Dhanalakshmi Kasinathan Ravikumar Kasinathan Ramkumar Kasinathan Karthikeyan Shanmugasundaram Dimplekumar Chalishajar Trajectory Controllability of Fractional Neutral Stochastic Dynamical Systems of Order α∈1,2 With Deviating Argument Journal of Applied Mathematics |
| title | Trajectory Controllability of Fractional Neutral Stochastic Dynamical Systems of Order α∈1,2 With Deviating Argument |
| title_full | Trajectory Controllability of Fractional Neutral Stochastic Dynamical Systems of Order α∈1,2 With Deviating Argument |
| title_fullStr | Trajectory Controllability of Fractional Neutral Stochastic Dynamical Systems of Order α∈1,2 With Deviating Argument |
| title_full_unstemmed | Trajectory Controllability of Fractional Neutral Stochastic Dynamical Systems of Order α∈1,2 With Deviating Argument |
| title_short | Trajectory Controllability of Fractional Neutral Stochastic Dynamical Systems of Order α∈1,2 With Deviating Argument |
| title_sort | trajectory controllability of fractional neutral stochastic dynamical systems of order α∈1 2 with deviating argument |
| url | http://dx.doi.org/10.1155/jama/2539363 |
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