Controllability of impulsive stochastic functional integrodifferential equations driven by Rosenblatt process and Lévy noise

Hamit, M. H. M.; Bete, K. H.; Mahamat,  B. I.; Diop, M. A.

doi:10.22436/jnsa.015.02.06

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Controllability of impulsive stochastic functional integrodifferential equations driven by Rosenblatt process and Lévy noise

Hamit, M. H. M.¹ ; Bete, K. H. ² ; Mahamat, B. I. ³ ; Diop, M. A. ⁴

¹ UFR SAT Departement de Mathematiques, Universite Gaston Berger de Saint-Louis, B. P234, Saint-Louis, Senegal
² Institut de Mathematiques et de Sciences Physiques, B. P 613 Porto-Novo, Benin
³ UFR SAT Departement de Mathematiques, Universite Gaston Berger de Saint-Louis, B. P234, Saint-Louis, Senegal
⁴ UFR SAT Departement de Mathematiques, Universite Gaston Berger de Saint-Louis, B. P234, Saint-Louis, Senegal;UMMISCO UMI 209 IRD/UPMC, Bondy, France

Journal of nonlinear sciences and its applications, Tome 15 (2022) no. 2, p. 152-171.

Voir la notice de l'article provenant de la source International Scientific Research Publications

Résumé

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.

DOI : 10.22436/jnsa.015.02.06

Classification : 35B35, 39B82, 93E03, 60H15
Keywords: Stochastic functional integrodifferential equations, resolvent operator, rosenblatt process, Lévy noise, controllability

Affiliations des auteurs :

Hamit, M. H. M. ¹ ; Bete, K. H. ² ; Mahamat, B. I. ³ ; Diop, M. A. ⁴

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     title = {Controllability of impulsive stochastic functional integrodifferential equations driven by {Rosenblatt} process and {L\'evy} noise},
     journal = {Journal of nonlinear sciences and its applications},
     pages = {152-171},
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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 its applications, Tome 15 (2022) no. 2, p. 152-171. doi : 10.22436/jnsa.015.02.06. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.015.02.06/

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