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Boundary controllability of nonlocal Hilfer fractional stochastic differential systems with fractional Brownian motion and Poisson jumps
Journal article   Open access  Peer reviewed

Boundary controllability of nonlocal Hilfer fractional stochastic differential systems with fractional Brownian motion and Poisson jumps

Hamdy M. Ahmed, Mahmoud M. El-Borai and M. Elsaid Ramadan
Advances in difference equations, Vol.2019(1), pp.1-23
28/02/2019
DOI: https://doi.org/10.1186/s13662-019-2028-1

Abstract

Analysis Difference and Functional Equations Functional Analysis general Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations
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.
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https://doi.org/10.1186/s13662-019-2028-1View
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