Impulsive stochastic differential equations involving Hilfer fractional derivatives
by Rahma Yasmina Moulay Hachemi   Toufik Guendouzi  

Vol. 17 No. 4 (2022) P.417~P.438

DOI:	https://doi.org/10.21915/BIMAS.2022404
	10.21915/BIMAS.2022404

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.

KEYWORDS
Hilfer fractional derivatives, fixed point, impulsive stochastic differential equation, sub-fractional Brownian motion, mild solutions

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 60H10, 34F05, 60H15, 35R60, 60H20, 60H30, 60H05

MILESTONES

Received: 2022-05-14
Revised :
Accepted:

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