Trajectory controllability of Clarke subdifferential type Hilfer fractional stochastic differential inclusion with non-instantaneous impulsive effects and deviated argument
This manuscript is devoted to analyse the solvability and trajectory controllability of Hilfer fractional non-instantaneous impulsive stochastic differential inclusion with Clarke subdifferential and deviated argument. The proposed Hilfer fractional impulsive inclusion system’s solvability in Hilber...
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| Format: | Article |
| Language: | English |
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Elsevier
2023-12-01
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| Series: | Results in Control and Optimization |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666720723001194 |
| _version_ | 1827753224006795264 |
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| author | N. Durga Muslim Malik |
| author_facet | N. Durga Muslim Malik |
| author_sort | N. Durga |
| collection | DOAJ |
| description | This manuscript is devoted to analyse the solvability and trajectory controllability of Hilfer fractional non-instantaneous impulsive stochastic differential inclusion with Clarke subdifferential and deviated argument. The proposed Hilfer fractional impulsive inclusion system’s solvability in Hilbert space is established by employing fractional calculus, multivalued analysis, stochastic analysis, semigroup theory and a multivalued fixed point theorem. Furthermore, under some suitable assumptions, the considered system’s trajectory controllability is established using a generalized Gronwall’s inequality. At last, an example is provided to verify the developed theoretical results. |
| first_indexed | 2024-03-11T07:32:44Z |
| format | Article |
| id | doaj.art-3d3e13726f944feda1ad52317fe9e6cd |
| institution | Directory Open Access Journal |
| issn | 2666-7207 |
| language | English |
| last_indexed | 2024-03-11T07:32:44Z |
| publishDate | 2023-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Control and Optimization |
| spelling | doaj.art-3d3e13726f944feda1ad52317fe9e6cd2023-11-17T05:28:24ZengElsevierResults in Control and Optimization2666-72072023-12-0113100317Trajectory controllability of Clarke subdifferential type Hilfer fractional stochastic differential inclusion with non-instantaneous impulsive effects and deviated argumentN. Durga0Muslim Malik1Division of Mathematics, School of Advanced Sciences, Vellore Institute of Technology-Chennai Campus, Chennai 600 127, Tamil Nadu, India; Corresponding author.School of Mathematical and Statistical Sciences, Indian Institute of Technology Mandi, Himachal Pradesh 175 005, IndiaThis manuscript is devoted to analyse the solvability and trajectory controllability of Hilfer fractional non-instantaneous impulsive stochastic differential inclusion with Clarke subdifferential and deviated argument. The proposed Hilfer fractional impulsive inclusion system’s solvability in Hilbert space is established by employing fractional calculus, multivalued analysis, stochastic analysis, semigroup theory and a multivalued fixed point theorem. Furthermore, under some suitable assumptions, the considered system’s trajectory controllability is established using a generalized Gronwall’s inequality. At last, an example is provided to verify the developed theoretical results.http://www.sciencedirect.com/science/article/pii/S2666720723001194Stochastic differential inclusion with Poisson jumpsClarke subdifferentialHilfer fractional derivativeTrajectory controllabilityDeviated argumentNon-instantaneous impulse |
| spellingShingle | N. Durga Muslim Malik Trajectory controllability of Clarke subdifferential type Hilfer fractional stochastic differential inclusion with non-instantaneous impulsive effects and deviated argument Results in Control and Optimization Stochastic differential inclusion with Poisson jumps Clarke subdifferential Hilfer fractional derivative Trajectory controllability Deviated argument Non-instantaneous impulse |
| title | Trajectory controllability of Clarke subdifferential type Hilfer fractional stochastic differential inclusion with non-instantaneous impulsive effects and deviated argument |
| title_full | Trajectory controllability of Clarke subdifferential type Hilfer fractional stochastic differential inclusion with non-instantaneous impulsive effects and deviated argument |
| title_fullStr | Trajectory controllability of Clarke subdifferential type Hilfer fractional stochastic differential inclusion with non-instantaneous impulsive effects and deviated argument |
| title_full_unstemmed | Trajectory controllability of Clarke subdifferential type Hilfer fractional stochastic differential inclusion with non-instantaneous impulsive effects and deviated argument |
| title_short | Trajectory controllability of Clarke subdifferential type Hilfer fractional stochastic differential inclusion with non-instantaneous impulsive effects and deviated argument |
| title_sort | trajectory controllability of clarke subdifferential type hilfer fractional stochastic differential inclusion with non instantaneous impulsive effects and deviated argument |
| topic | Stochastic differential inclusion with Poisson jumps Clarke subdifferential Hilfer fractional derivative Trajectory controllability Deviated argument Non-instantaneous impulse |
| url | http://www.sciencedirect.com/science/article/pii/S2666720723001194 |
| work_keys_str_mv | AT ndurga trajectorycontrollabilityofclarkesubdifferentialtypehilferfractionalstochasticdifferentialinclusionwithnoninstantaneousimpulsiveeffectsanddeviatedargument AT muslimmalik trajectorycontrollabilityofclarkesubdifferentialtypehilferfractionalstochasticdifferentialinclusionwithnoninstantaneousimpulsiveeffectsanddeviatedargument |