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

被引：0
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作者：
Hamdy M. Ahmed
Mahmoud M. El-Borai
M. Elsaid Ramadan
机构：
[1] El-Shorouk Academy,Higher Institute of Engineering
[2] Alexandria University,Department of Mathematics, Faculty of Science
[3] Al-Azhar University,Department of Mathematics, Faculty of Science
[4] Islamic University,Department of Mathematics, Faculty of Science
来源：
Advances in Difference Equations | / 2019卷
关键词：
Hilfer fractional stochastic differential system; Fractional Brownian motion; Nonlocal condition; Approximate and null boundary controllability; Poisson jumps; 93B05; 93C10; 34A08; 60H10; 60G22;
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摘要：
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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