Approximate Controllability for Time-Dependent Impulsive Neutral Stochastic Partial Differential Equations with Fractional Brownian Motion and Memory
In this manuscript, we investigate the approximate controllability for time-dependent impulsive neutral stochastic partial differential equations with fractional Brownian motion and memory in Hilbert space. By using semigroup theory, stochastic analysis techniques and fixed point approach, we derive...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Emrah Evren KARA
2020-09-01
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| Series: | Universal Journal of Mathematics and Applications |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/tr/download/article-file/755477 |
| _version_ | 1797350230791815168 |
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| author | Elsayed Elsayed Ramkumar K A. Anguraj K. Ravikumar |
| author_facet | Elsayed Elsayed Ramkumar K A. Anguraj K. Ravikumar |
| author_sort | Elsayed Elsayed |
| collection | DOAJ |
| description | In this manuscript, we investigate the approximate controllability for time-dependent impulsive neutral stochastic partial differential equations with fractional Brownian motion and memory in Hilbert space. By using semigroup theory, stochastic analysis techniques and fixed point approach, we derive a new set of sufficient conditions for the approximate controllability of nonlinear stochastic system under the assumption that the corresponding linear system is approximately controllable. Finally, an example is provided to illustrate our results. |
| first_indexed | 2024-03-08T12:41:42Z |
| format | Article |
| id | doaj.art-c42652d34fc94d1d8fd8ea637ee09803 |
| institution | Directory Open Access Journal |
| issn | 2619-9653 |
| language | English |
| last_indexed | 2024-03-08T12:41:42Z |
| publishDate | 2020-09-01 |
| publisher | Emrah Evren KARA |
| record_format | Article |
| series | Universal Journal of Mathematics and Applications |
| spelling | doaj.art-c42652d34fc94d1d8fd8ea637ee098032024-01-21T10:01:52ZengEmrah Evren KARAUniversal Journal of Mathematics and Applications2619-96532020-09-013311512010.32323/ujma.5881041225Approximate Controllability for Time-Dependent Impulsive Neutral Stochastic Partial Differential Equations with Fractional Brownian Motion and MemoryElsayed ElsayedRamkumar K0A. Anguraj1K. Ravikumar2Department of Mathematics, PSG College of Arts and Science, Coimbatore, 641 014Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589Department of Mathematics, PSG College of Arts and Science, Coimbatore, 641 014In this manuscript, we investigate the approximate controllability for time-dependent impulsive neutral stochastic partial differential equations with fractional Brownian motion and memory in Hilbert space. By using semigroup theory, stochastic analysis techniques and fixed point approach, we derive a new set of sufficient conditions for the approximate controllability of nonlinear stochastic system under the assumption that the corresponding linear system is approximately controllable. Finally, an example is provided to illustrate our results.https://dergipark.org.tr/tr/download/article-file/755477approximate controllabilityimpulsive systemsfractional brownian motion |
| spellingShingle | Elsayed Elsayed Ramkumar K A. Anguraj K. Ravikumar Approximate Controllability for Time-Dependent Impulsive Neutral Stochastic Partial Differential Equations with Fractional Brownian Motion and Memory Universal Journal of Mathematics and Applications approximate controllability impulsive systems fractional brownian motion |
| title | Approximate Controllability for Time-Dependent Impulsive Neutral Stochastic Partial Differential Equations with Fractional Brownian Motion and Memory |
| title_full | Approximate Controllability for Time-Dependent Impulsive Neutral Stochastic Partial Differential Equations with Fractional Brownian Motion and Memory |
| title_fullStr | Approximate Controllability for Time-Dependent Impulsive Neutral Stochastic Partial Differential Equations with Fractional Brownian Motion and Memory |
| title_full_unstemmed | Approximate Controllability for Time-Dependent Impulsive Neutral Stochastic Partial Differential Equations with Fractional Brownian Motion and Memory |
| title_short | Approximate Controllability for Time-Dependent Impulsive Neutral Stochastic Partial Differential Equations with Fractional Brownian Motion and Memory |
| title_sort | approximate controllability for time dependent impulsive neutral stochastic partial differential equations with fractional brownian motion and memory |
| topic | approximate controllability impulsive systems fractional brownian motion |
| url | https://dergipark.org.tr/tr/download/article-file/755477 |
| work_keys_str_mv | AT elsayedelsayed approximatecontrollabilityfortimedependentimpulsiveneutralstochasticpartialdifferentialequationswithfractionalbrownianmotionandmemory AT ramkumark approximatecontrollabilityfortimedependentimpulsiveneutralstochasticpartialdifferentialequationswithfractionalbrownianmotionandmemory AT aanguraj approximatecontrollabilityfortimedependentimpulsiveneutralstochasticpartialdifferentialequationswithfractionalbrownianmotionandmemory AT kravikumar approximatecontrollabilityfortimedependentimpulsiveneutralstochasticpartialdifferentialequationswithfractionalbrownianmotionandmemory |