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2022 / December Volume 17 No.4
Impulsive stochastic differential equations involving Hilfer fractional derivatives
Published Date
2022 / December
Title
Impulsive stochastic differential equations involving Hilfer fractional derivatives
Author
Rahma Yasmina Moulay Hachemi, Toufik Guendouzi
Keyword
Hilfer fractional derivatives, fixed point, impulsive stochastic differential equation, sub-fractional Brownian motion, mild solutions
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Pagination
417-438
Abstract
In this paper, we study the existence of mild solutions of Hilfer fractional stochastic differential equation with impulses driven by sub-fractional Brownian motion. The results are obtained by using Burton-Kirk’s fixed point theorem. In the end, an example is given to illustrate the obtained results.
DOI
10.21915/BIMAS.2022404
https://doi.org/10.21915/BIMAS.2022404
AMS Subject
Classification
60H10, 34F05, 60H15, 35R60, 60H20, 60H30, 60H05
Received
2022-05-14
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