文章基本信息

标题：Approximate controllability of noninstantaneous impulsive Hilfer fractional integrodifferential equations with fractional Brownian motion
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作者：Hamdy M. Ahmed ; Mahmoud M. El-Borai ; A. S. Okb El Bab 等
期刊名称：Boundary Value Problems
印刷版ISSN：1687-2762
电子版ISSN：1687-2770
出版年度：2020
卷号：2020
期号：1
页码：1
DOI：10.1186/s13661-020-01418-0
出版社：Hindawi Publishing Corporation
摘要：We introduce the investigation of approximate controllability for a new class of nonlocal and noninstantaneous impulsive Hilfer fractional neutral stochastic integrodifferential equations with fractional Brownian motion. An appropriate set of sufficient conditions is derived for the considered system to be approximately controllable. For the main results, we use fractional calculus, stochastic analysis, fractional power of operators and Sadovskii’s fixed point theorem. At the end, an example is also given to show the applicability of our obtained theory.
关键词：93B05 ; 26A33 ; 93C10 ; 60H10 ; 34K40 ; 60G22