New Results Concerning Approximate Controllability of Conformable Fractional Noninstantaneous Impulsive Stochastic Evolution Equations via Poisson Jumps

We introduce the conformable fractional (CF) noninstantaneous impulsive stochastic evolution equations with fractional Brownian motion (fBm) and Poisson jumps. The approximate controllability for the considered problem was investigated. Principles and concepts from fractional calculus, stochastic an...

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Bibliographic Details
Published in:Mathematics (Basel) 2023-03, Vol.11 (5), p.1093
Main Authors: Alhojilan, Yazid, Ahmed, Hamdy M.
Format: Article
Language:English
Subjects:
approximate controllability
Banach spaces
Brownian motion
Controllability
Evolution
Fixed points (mathematics)
Food science
fractional Brownian motion
Fractional calculus
fractional derivative
Hilbert space
Inequality
Learning models (Stochastic processes)
Mathematical analysis
nonlinear equations
Random variables
stochastic system
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Summary:We introduce the conformable fractional (CF) noninstantaneous impulsive stochastic evolution equations with fractional Brownian motion (fBm) and Poisson jumps. The approximate controllability for the considered problem was investigated. Principles and concepts from fractional calculus, stochastic analysis, and the fixed-point theorem were used to support the main results. An example is applied to show the established results.
ISSN:2227-7390
2227-7390
DOI:10.3390/math11051093