Boundary controllability of nonlocal Hilfer fractional stochastic differential systems with fractional Brownian motion and Poisson jumps
Hamdy M. Ahmed, Mahmoud M. El-Borai, M. Elsaid Ramadan
Advances in Difference Equations · 2019
doi:10.1186/s13662-019-2028-1 (opens in a new tab)
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Abstract
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.
Abstract licence: CC BY
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