Hilfer fractional stochastic system driven by mixed Brownian motion and Lvy noise suffered by non-instantaneous impulses

被引：8

作者：

Balasubramaniam, P. ^{[1
]}

机构：

[1] Gandhigram Rural Inst Deemed Univ, Dept Math, Gandhigram 624302, Tamil Nadu, India

来源：

STOCHASTIC ANALYSIS AND APPLICATIONS | 2023年 / 41卷 / 01期

关键词：

Stochastic differential systems; non-instantaneous impulse; fixed point theorem; mixed Brownian motions; Levy noise; DIFFERENTIAL-EQUATIONS; INTEGRODIFFERENTIAL EQUATIONS; EXISTENCE; CONTROLLABILITY; STABILITY;

D O I：

10.1080/07362994.2021.1990082

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper discusses the existence result for a class of non-instantaneous impulsive Hilfer fractional stochastic systems (NIHFSS) driven by mixed Brownian motion and Levy noise. Sufficient conditions are obtained by utilizing Mo center dot nch fixed point theorem (FPT) for the existence of solution of non-instantaneous impulsive Hilfer fractional stochastic system of order 0<gamma<1 and of type 0 <=delta <= 1. The existence result is derived by adapting stochastic analysis techniques, the measure of non-compactness, semigroup theory, and fractional calculus. The discussed theory is illustrated through an example.

引用

页码：60 / 79

页数：20

共 50 条

[41] Exact Controllability of Hilfer Fractional Differential System with Non-instantaneous Impluleses and State Dependent Delay
Aziz Khan
Qura Tul Ain
Thabet Abdeljawad
Kottakkaran Sooppy Nisar
Qualitative Theory of Dynamical Systems, 2023, 22
[42] Existence trajectory and optimal control of Clarke subdifferential stochastic integrodifferential inclusions suffered by non-instantaneous impulses and deviated arguments
Ramkumar, K.
Ravikumar, K.
Chalishajar, Dimplekumar
RESULTS IN CONTROL AND OPTIMIZATION, 2023, 13
[43] Optimal controls for second-order stochastic differential equations driven by mixed-fractional Brownian motion with impulses
Dhayal, Rajesh
Malik, Muslim
Abbas, Syed
Debbouche, Amar
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (07) : 4107 - 4124
[44] Trajectory controllability of Hilfer fractional neutral stochastic differential equation with deviated argument and mixed fractional Brownian motion
Durga, N.
Muthukumar, P.
Malik, Muslim
OPTIMIZATION, 2023, 72 (11) : 2865 - 2891
[45] Null Controllability of Nonlocal Sobolev-Type Hilfer Fractional Stochastic Differential System Driven by Fractional Brownian Motion and Poisson Jumps
Ravikumar, K.
Ramkumar, K.
Anguraj, A.
JOURNAL OF APPLIED NONLINEAR DYNAMICS, 2021, 10 (04) : 617 - 626
[46] Existence of Mild Solution for Mixed Volterra-Fredholm Integro Fractional Differential Equation with Non-instantaneous Impulses
Borah, Jayanta
Bora, Swaroop Nandan
DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2022, 30 (01) : 185 - 196
[47] Approximate controllability of fractional stochastic differential equations driven by mixed fractional Brownian motion via resolvent operators
Tamilalagan, P.
Balasubramaniam, P.
INTERNATIONAL JOURNAL OF CONTROL, 2017, 90 (08) : 1713 - 1727
[48] Optimal control of Sobolev-type stochastic Hilfer fractional non-instantaneous impulsive differential inclusion involving Poisson jumps and Clarke subdifferential
Durga, N.
Muthukumar, P.
IET CONTROL THEORY AND APPLICATIONS, 2020, 14 (06) : 887 - 899
[49] Solvability and Stability for Neutral Stochastic Integro-differential Equations Driven by Fractional Brownian Motion with Impulses
Duan, Pengju
Ren, Yong
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2018, 15 (06)
[50] The Existence of Solutions for w-Weighted ψ-Hilfer Fractional Differential Inclusions of Order μ ∈ (1,2) with Non-Instantaneous Impulses in Banach Spaces
Alsheekhhussain, Zainab
Ibrahim, Ahmad Gamal
Al-Sawalha, Mohammed Mossa
Jawarneh, Yousef
FRACTAL AND FRACTIONAL, 2024, 8 (03)

← 1 2 3 4 5 →