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

被引：0

作者：

Alhojilan, Yazid ^{[1
]}

Ahmed, Hamdy M. ^{[2
]}

机构：

[1] Qassim Univ, Coll Sci, Dept Math, POB 6644, Buraydah 51452, Saudi Arabia

[2] El Shorouk Acad, Higher Inst Engn, Dept Phys & Engn Math, El Shorouk City 11837, Egypt

来源：

MATHEMATICS | 2023年 / 11卷 / 05期

关键词：

fractional derivative; stochastic system; nonlinear equations; approximate controllability; fractional Brownian motion; DIFFERENTIAL-EQUATIONS; ROSENBLATT PROCESS; DRIVEN; STABILITY; EXISTENCE; UNIQUENESS; CALCULUS;

D O I：

10.3390/math11051093

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：16

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