2021 / June Volume 16 No.2
Impulsive fractional stochastic differential inclusions driven by sub-Fractional Brownian motion with infinite delay and sectorial operators
| Published Date |
2021 / June
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|---|---|
| Title | Impulsive fractional stochastic differential inclusions driven by sub-Fractional Brownian motion with infinite delay and sectorial operators |
| Author | |
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| Pagination | 87-126 |
| 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.
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| DOI | |
| AMS Subject Classification |
26A33, 34A37, 34A60, 34K40, 35R11, 60H15.
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| Received |
2021-04-10
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| Accepted |
2021-06-21
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