文章基本信息

标题：Boundary controllability of nonlocal Hilfer fractional stochastic differential systems with fractional Brownian motion and Poisson jumps
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作者：Hamdy M. Ahmed ; Mahmoud M. El-Borai ; M. Elsaid Ramadan 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2019
卷号：2019
期号：1
页码：1-23
DOI：10.1186/s13662-019-2028-1
出版社：Hindawi Publishing Corporation
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.
关键词：Hilfer fractional stochastic differential system ; Fractional Brownian motion ; Nonlocal condition ; Approximate and null boundary controllability ; Poisson jumps