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.


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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


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