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

共 50 条

[31] Approximate controllability of fractional stochastic evolution equations with nonlocal conditions [J].

Ding, Yonghong ;

Li, Yongxiang .

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2020, 21 (7-8) :829-841

[32] Some results on the existence and stability of impulsive delayed stochastic differential equations with Poisson jumps [J].

Gao, Dongdong ;

Kuang, Daipeng ;

Li, Jianli .

AIMS MATHEMATICS, 2023, 8 (07) :15269-15284

[33] Approximate controllability of second-order impulsive neutral stochastic differential equations with state-dependent delay and Poisson jumps [J].

Huang, Hao ;

Wu, Zheng ;

Su, Xiaofeng .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2023, 2023 (01)

[34] APPROXIMATE CONTROLLABILITY OF FRACTIONAL ORDER STOCHASTIC VARIATIONAL INEQUALITIES DRIVEN BY POISSON JUMPS [J].

Muthukumar, P. ;

Rajivganthi, C. .

TAIWANESE JOURNAL OF MATHEMATICS, 2014, 18 (06) :1721-1738

[35] Approximate Controllability for Semilinear Fractional Stochastic Evolution Equations [J].

Jiang, Yiming ;

Ren, Jingchuang ;

Wei, Yawei ;

Xue, Jie .

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2024, 23 (SUPPL 1)

[36] NEW IMPULSIVE-INTEGRAL INEQUALITY FOR STOCHASTIC DIFFERENTIAL EQUATIONS WITH POISSON JUMPS AND CAPUTO FRACTIONAL DERIVATIVE [J].

Gao, Dongdong ;

Li, Jianli .

JOURNAL OF MATHEMATICAL INEQUALITIES, 2023, 17 (03) :831-847

[37] An Investigation on the Approximate Controllability of Non-instantaneous Impulsive Hilfer Sobolev-Type Fractional Stochastic System Driven by the Rosenblatt Process and Poisson Jumps [J].

Yadav, Vandana ;

Vats, Ramesh Kumar ;

Kumar, Ankit .

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2025, 24 (02)

[38] Approximate Controllability for Hilfer Fractional Stochastic Non-instantaneous Impulsive Differential System with Rosenblatt Process and Poisson Jumps [J].

G. Gokul ;

R. Udhayakumar .

Qualitative Theory of Dynamical Systems, 2024, 23

[39] Approximate controllability of non-instantaneous impulsive stochastic integrodifferential equations driven by Rosenblatt process via resolvent operators [J].

Kpizim, Essozimna ;

Dehigbe, Bertin ;

Kasinathan, Ramkumar ;

Kasinathan, Ravikumar ;

Diop, Mamadou Abdoul .

CUBO-A MATHEMATICAL JOURNAL, 2023, 25 (03) :467-495

[40] Moment stability of fractional stochastic evolution equations with Poisson jumps [J].

Zhang, Lei ;

Ding, Yongsheng ;

Hao, Kuangrong ;

Hu, Liangjian ;

Wang, Tong .

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2014, 45 (07) :1539-1547

← 1 2 3 4 5 →