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

Yazid Alhojilan and Hamdy M. Ahmed ()
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Yazid Alhojilan: Department of Mathematics, College of Science, Qassim University, P.O. Box 6644, Buraydah 51452, Saudi Arabia
Hamdy M. Ahmed: Department of Physics and Engineering Mathematics, Higher Institute of Engineering, El Shorouk Academy, El-Shorouk City 11837, Egypt

Mathematics, 2023, vol. 11, issue 5, 1-16

Abstract: 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.

Keywords: fractional derivative; stochastic system; nonlinear equations; approximate controllability; fractional Brownian motion (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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