Journal
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY
Volume 44, Issue 3, Pages 673-690Publisher
SPRINGER SINGAPORE PTE LTD
DOI: 10.1007/s41980-018-0043-8
Keywords
Sobolev type stochastic differential equations; Fractional Brownian motion; Poisson jumps; Hilfer fractional derivative; Exact null controllability
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Funding
- Training Object of High Level and Innovative Talents of Guizhou Province [(2016)4006]
- Science and Technology Program of Guizhou Province [[2017]5788]
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In this paper, we establish sufficient conditions for exact null controllability of Sobolev type stochastic differential equations with fractional Brownian motion and Poisson jumps in Hilbert spaces, where the time fractional derivative is the Hilfer derivative. The exact null controllability result is derived by using fractional calculus, compact semigroup, fixed point theorem and stochastic analysis. Finally, an example is given to show the application of our results.
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