Controllability of impulsive stochastic functional integrodifferential equations driven by Rosenblatt process and Lévy noise
Volume 15, Issue 2, pp 152--171
http://dx.doi.org/10.22436/jnsa.015.02.06
Publication Date: January 06, 2022
Submission Date: June 19, 2021
Revision Date: November 01, 2021
Accteptance Date: November 20, 2021
Authors
M. H. M. Hamit
- UFR SAT Departement de Mathematiques, Universite Gaston Berger de Saint-Louis, B. P234, Saint-Louis, Senegal.
K. H. Bete
- Institut de Mathematiques et de Sciences Physiques, B. P 613 Porto-Novo, Benin.
B. I. Mahamat
- UFR SAT Departement de Mathematiques, Universite Gaston Berger de Saint-Louis, B. P234, Saint-Louis, Senegal.
M. A. Diop
- UFR SAT Departement de Mathematiques, Universite Gaston Berger de Saint-Louis, B. P234, Saint-Louis, Senegal.
- UMMISCO UMI 209 IRD/UPMC, Bondy, France.
Abstract
In this paper, we develop controllability findings for impulsive neutral stochastic delay partial integrodifferential equations in Hilbert spaces driven by Rosenblatt process and Lévy noise. A novel set of adequate requirements is obtained by utilizing a fixed point method without imposing a stringent compactness constraint on the semigroup. The observed results represent a generalization and continuation of previous findings on this topic. Finally, an example is given to demonstrate how the acquired findings may be used.
Share and Cite
ISRP Style
M. H. M. Hamit, K. H. Bete, B. I. Mahamat, M. A. Diop, Controllability of impulsive stochastic functional integrodifferential equations driven by Rosenblatt process and Lévy noise, Journal of Nonlinear Sciences and Applications, 15 (2022), no. 2, 152--171
AMA Style
Hamit M. H. M., Bete K. H., Mahamat B. I., Diop M. A., Controllability of impulsive stochastic functional integrodifferential equations driven by Rosenblatt process and Lévy noise. J. Nonlinear Sci. Appl. (2022); 15(2):152--171
Chicago/Turabian Style
Hamit, M. H. M., Bete, K. H., Mahamat, B. I., Diop, M. A.. "Controllability of impulsive stochastic functional integrodifferential equations driven by Rosenblatt process and Lévy noise." Journal of Nonlinear Sciences and Applications, 15, no. 2 (2022): 152--171
Keywords
- Stochastic functional integrodifferential equations
- resolvent operator
- rosenblatt process
- Lévy noise
- controllability
MSC
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