Approximate controllability of noninstantaneous impulsive Hilfer fractional integrodifferential equations with fractional Brownian motion

被引：46
作者：
Ahmed, Hamdy M. [1 ]
El-Borai, Mahmoud M. [2 ]
El Bab, A. S. Okb [3 ]
Ramadan, M. Elsaid [3 ,4 ]
机构：
[1] El Shorouk Acad, Higher Inst Engn, Cairo, Egypt
[2] Alexandria Univ, Dept Math, Fac Sci, Alexandria, Egypt
[3] Al Azhar Univ, Fac Sci, Dept Math, Cairo, Egypt
[4] Islamic Univ Madinah, Fac Sci, Dept Math, Medina, Saudi Arabia
来源：
BOUNDARY VALUE PROBLEMS | 2020年 / 2020卷 / 01期
关键词：
Hilfer fractional neutral stochastic differential equations; Nonlocal conditions; Approximate controllability; Fractional Brownian motion; Noninstantaneous impulsive; Sadovskii fixed point theorem; STOCHASTIC DIFFERENTIAL-INCLUSIONS; DRIVEN; EXISTENCE; DELAY; STABILITY;
D O I：
10.1186/s13661-020-01418-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
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页数：25
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