Existence and controllability of nonlinear evolution equation involving Hilfer fractional derivative with noise and impulsive effect via Rosenblatt process and Poisson jumps
This manuscript explores a new class of Hilfer fractional stochastic differential system, as driven by the Wiener process and Rosenblatt process through the application of non-instantaneous impulsive effects and Poisson jumps. Existence of a mild solution to the considered system is proved. Sufficie...
Main Authors: | Noorah Mshary, Hamdy M. Ahmed, Ahmed S. Ghanem |
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Format: | Article |
Language: | English |
Published: |
AIMS Press
2024-03-01
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Series: | AIMS Mathematics |
Subjects: | |
Online Access: | https://aimspress.com/article/doi/10.3934/math.2024477?viewType=HTML |
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