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

Article scientifique 2019 Anglais

Résumé

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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Ahmed, H., El-Borai, M., Ramadan, M. (2019). Boundary controllability of nonlocal Hilfer fractional stochastic differential systems with fractional Brownian motion and Poisson jumps. https://doi.org/10.1186/s13662-019-2028-1

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Auteur(s)

Hamdy M. Ahmed Mahmoud M. El-Borai M. Elsaid Ramadan

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