Approximate controllability of impulsive neutral stochastic differentialequations with fractional Brownian motion in a Hilbert space
By Hamdy Mohamed Ahmed. Advances in Differential Equations, 2014
70 citations recorded by the source corpus.
Approximate controllability for impulsive neutral stochastic functionaldifferential equations with finite delay and fractional Brownian motion in aHilbert space are studied. The results are obtained by using semigroup theory,stochastic analysis, and Banach’s fixed point theorem. Finally, an exampleis given to illustrate the application of our result. MSC: 60H15, 60G22, 93B05, 34A37.
Subfields: Applied Mathematics, Control and Systems Engineering, Modeling and Simulation
View Paper: https://www.semanticscholar.org/paper/f9603c7d6a52012c369391dcc024dc849be9471c
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In Applied Mathematics
In Control and Systems Engineering
In Modeling and Simulation
- Dhirendra Bahuguna
- Kamal Jeet
- Mahmoud M. El-Borai
- M. E. Ramadan
- A. Băb
- Hamdy Mohamed Ahmed
- Nazim Idrisoglu Mahmudov
- Yong Zhou
Citations in the corpus
- Approximate controllability of noninstantaneous impulsive Hilfer fractional integrodifferential equations with fractional Brownian motion (2020, background): “Ahmed studied the approximate controllability of impulsive neutral stochastic differential equations with fractional Brownian motion in a Hilbert space (see [23]).”
- Approximate Controllability of Nonlocal Neutral Fractional Integro-Differential Equations with Finite Delay (2015, background): “Ahmed [21] investigated the approximate controllability problem for a class of impulsive neutral stochastic functional differential equations with finite delay and fractional Brownian motion in a Hilbert space.”