Controllability of nonlinear stochastic neutral fractional dynamical systems

Mabel Lizzy Rajendran; Balachandran Krishnan; J.J. Trujillo

doi:10.15388/NA.2017.5.8

Controllability of nonlinear stochastic neutral fractional dynamical systems

Mabel Lizzy Rajendran, Balachandran Krishnan^*, J.J. Trujillo

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we obtain an equivalent nonlinear integral equation to the stochastic neutral fractional system with bounded operator. Using the integral equation, the sufficient conditions for ensuring the complete controllability of the stochastic fractional neutral systems with Wiener and Lévy noise are obtained. Banach’s fixed point theorem is used to obtain the results. Examples are provided to illustrate the theory.

Original language	English
Journal	Nonlinear Analysis: Modelling and Control
DOIs	https://doi.org/10.15388/NA.2017.5.8
Publication status	Published - 2017
Externally published	Yes

Keywords

stochastic fractional differential equation
controllability
neutral systems
Wiener process
Levy process

Access to Document

10.15388/NA.2017.5.8

Cite this

@article{fabf2230f1db46fd99affd3944352639,

title = "Controllability of nonlinear stochastic neutral fractional dynamical systems",

abstract = "In this paper, we obtain an equivalent nonlinear integral equation to the stochastic neutral fractional system with bounded operator. Using the integral equation, the sufficient conditions for ensuring the complete controllability of the stochastic fractional neutral systems with Wiener and L{\'e}vy noise are obtained. Banach{\textquoteright}s fixed point theorem is used to obtain the results. Examples are provided to illustrate the theory.",

keywords = "stochastic fractional differential equation, controllability, neutral systems, Wiener process, Levy process",

author = "Rajendran, {Mabel Lizzy} and Balachandran Krishnan and J.J. Trujillo",

year = "2017",

doi = "10.15388/NA.2017.5.8",

language = "English",

journal = "Nonlinear Analysis: Modelling and Control",

}

TY - JOUR

T1 - Controllability of nonlinear stochastic neutral fractional dynamical systems

AU - Rajendran, Mabel Lizzy

AU - Krishnan, Balachandran

AU - Trujillo, J.J.

PY - 2017

Y1 - 2017

N2 - In this paper, we obtain an equivalent nonlinear integral equation to the stochastic neutral fractional system with bounded operator. Using the integral equation, the sufficient conditions for ensuring the complete controllability of the stochastic fractional neutral systems with Wiener and Lévy noise are obtained. Banach’s fixed point theorem is used to obtain the results. Examples are provided to illustrate the theory.

AB - In this paper, we obtain an equivalent nonlinear integral equation to the stochastic neutral fractional system with bounded operator. Using the integral equation, the sufficient conditions for ensuring the complete controllability of the stochastic fractional neutral systems with Wiener and Lévy noise are obtained. Banach’s fixed point theorem is used to obtain the results. Examples are provided to illustrate the theory.

KW - stochastic fractional differential equation

KW - controllability

KW - neutral systems

KW - Wiener process

KW - Levy process

U2 - 10.15388/NA.2017.5.8

DO - 10.15388/NA.2017.5.8

M3 - Article

JO - Nonlinear Analysis: Modelling and Control

JF - Nonlinear Analysis: Modelling and Control

ER -

Controllability of nonlinear stochastic neutral fractional dynamical systems

Abstract

Keywords

Access to Document

Fingerprint

Cite this