Impulsive fractional stochastic differential inclusions driven by sub-Fractional Brownian motion with infinite delay and sectorial operators
by
Meryem Chaouche
Toufik Guendouzi
Vol. 16 No. 2 (2021) P.87~P.126
DOI: | https://doi.org/10.21915/BIMAS.2021201 |
| 10.21915/BIMAS.2021201 |
ABSTRACT
We investigate the existence of mild solutions of impulsive fractional stochastic differential inclusions driven by sub-fractional Brownian motion $S_{Q}^{H}$ with infinite delay and non instantaneous impulses
when the linear part is a fractional sectorial operators on separable Hilbert spaces. We consider the
cases when the multivalued map is convex as well as non convex, a sufficient conditions for the
existence are derived with the help of the multivalued fixed point theory and the measure of noncompactness.
KEYWORDS
Mild solution, impulsive fractional stochastic differential inclusions, fractional Brownian motion, fractional sectorial operators, infinite delay, fractional derivative, fixed
point.
MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 26A33, 34A37, 34A60, 34K40, 35R11, 60H15.
MILESTONES
Received: 2021-04-10
Revised :
Accepted: 2021-06-21
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