Boundary controllability of nonlocal Hilfer fractional stochastic differential systems with fractional Brownian motion and Poisson jumps. (English) Zbl 1460.34100
Summary: By using stochastic analysis, fractional analysis, compact semigroups and the Schauder fixed-point theorem, we discuss the approximate boundary controllability of a nonlocal Hilfer fractional stochastic differential system with fractional Brownian motion and a Poisson jump. In addition, we establish the sufficient conditions for exact null controllability for the same problem. Finally, an example is given to illustrate the results obtained.
MSC:
| 34K50 | Stochastic functional-differential equations |
| 93B05 | Controllability |
| 60G22 | Fractional processes, including fractional Brownian motion |
| 60H10 | Stochastic ordinary differential equations (aspects of stochastic analysis) |
| 93E03 | Stochastic systems in control theory (general) |
| 93C10 | Nonlinear systems in control theory |
Keywords:
Hilfer fractional stochastic differential system; fractional Brownian motion; nonlocal condition; approximate and null boundary controllability; Poisson jumpsReferences:
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