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New Results Concerning Approximate Controllability of Conformable Fractional Noninstantaneous Impulsive Stochastic Evolution Equations via Poisson Jumps
Journal article   Open access  Peer reviewed

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

Yazid Alhojilan and Hamdy M. Ahmed
Mathematics (Basel), Vol.11(5), p.1093
01/03/2023

Abstract

Mathematics Physical Sciences Science & Technology
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.
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https://doi.org/10.3390/math11051093View
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