NULL CONTROLLABILITY OF HILFER FRACTIONAL STOCHASTIC DIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS

被引：8
作者：
Chalishajar, Dimplekumar [1 ]
Ravikumar, K. [2 ]
Ramkumar, K. [2 ]
Anguraj, A. [2 ]
机构：
[1] Virginia Mil Inst, Dept Appl Math, Lexington, VA 24450 USA
[2] PSG Coll Arts & Sci, Dept Math, Coimbatore 641046, India
来源：
NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION | 2024年 / 14卷 / 02期
关键词：
  Hilfer fractional stochastic differential equation; fractional Brownian motion; Poisson jump; null controllability; nonlocal conditions; APPROXIMATE CONTROLLABILITY; EVOLUTION EQUATIONS; STABILITY; SYSTEMS;
D O I：
10.3934/naco.2022029
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper assesses a class of nonlocal Hilfer fractional stochastic differential equations (NHFSDEs) governed by fractional Brownian motion (fBm). New sufficient condition of exact null controllability for this stochastic setting has been investigated using fractional calculus, fixed point theory and a theory of resolvent operator. The derived result is new because it generalizes several of previously published results. However, the obtained results are proven by an illustration using stochastic partial differential equations to demonstrate the present application characteristic of null controllability. A filter example is demonstrated to make use of resolvent operator in a practical way.
引用
收藏
页码：322 / 338
页数：17
相关论文
共 53 条
[1]  
Abinaya S., 2019, GLOBAL J PURE APPL M, V15, P305
[2]   A Survey on Existence Results for Boundary Value Problems of Nonlinear Fractional Differential Equations and Inclusions [J].
Agarwal, Ravi P. ;
Benchohra, Mouffak ;
Hamani, Samira .
ACTA APPLICANDAE MATHEMATICAE, 2010, 109 (03) :973-1033
[3]   Controllability and constrained controllability for nonlocal Hilfer fractional differential systems with Clarke's subdifferential [J].
Ahmed, Hamdy M. ;
El-Borai, Mahmoud M. ;
El Bab, A. S. Okb ;
Ramadan, M. Elsaid .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (01)
[4]   Boundary controllability of nonlocal Hilfer fractional stochastic differential systems with fractional Brownian motion and Poisson jumps [J].
Ahmed, Hamdy M. ;
El-Borai, Mahmoud M. ;
Ramadan, M. Elsaid .
ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (1)
[5]   Approximate Controllability via Resolvent Operators of Sobolev-Type Fractional Stochastic Integrodifferential Equations with Fractional Brownian Motion and Poisson Jumps [J].
Ahmed, Hamdy M. .
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2019, 45 (04) :1045-1059
[6]   Exact Null Controllability of Sobolev-Type Hilfer Fractional Stochastic Differential Equations with Fractional Brownian Motion and Poisson Jumps [J].
Ahmed, Hamdy M. ;
Wang, JinRong .
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2018, 44 (03) :673-690
[7]   Boundary controllability of impulsive nonlinear fractional delay integro-differential system [J].
Ahmed, Hamdy M. .
COGENT ENGINEERING, 2016, 3 (01)
[8]   Approximate controllability of impulsive neutral stochastic differential equations with fractional Brownian motion in a Hilbert space [J].
Ahmed, Hamdy M. .
ADVANCES IN DIFFERENCE EQUATIONS, 2014,
[9]   Controllability of fractional stochastic delay equations [J].
Ahmed H.M. .
Lobachevskii Journal of Mathematics, 2009, 30 (3) :195-202
[10]   Approximate Controllability of Semilinear Stochastic Integrodifferential System with Nonlocal Conditions [J].
Anguraj, Annamalai ;
Ramkumar, K. .
FRACTAL AND FRACTIONAL, 2018, 2 (04) :1-13
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