On fractional diffusion equation with noise perturbation

Sridevi Coimbatore Sankarakrishnan; Mabel Lizzy Rajendran; Suvinthra Murugan

doi:10.1007/s40435-023-01291-6

On fractional diffusion equation with noise perturbation

Sridevi Coimbatore Sankarakrishnan^*, Mabel Lizzy Rajendran, Suvinthra Murugan

^*Corresponding author for this work

Mathematics

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

Abstract

The stochastic time-fractional diffusion equation can be accounted for a logical description of models with subdiffusion. This work is dedicated to the study of existence and uniqueness of the solution of stochastic time-fractional diffusion equation perturbed with a nonlinear source term. The method of Faedo–Galerkin approximations is employed in order to arrive at the estimate and to establish existence of solution by assuming that the noise coefficient and the nonlinear source term satisfy the required assumptions like Lipschitz continuity and linear growth condition.

Original language	English
Journal	International Journal of Dynamics and Control
Early online date	14 Sept 2023
DOIs	https://doi.org/10.1007/s40435-023-01291-6
Publication status	E-pub ahead of print - 14 Sept 2023

Keywords

Stochastic fractional differential equations
Existence of solutions
Time-fractional PDE
Diffusion equation

Access to Document

10.1007/s40435-023-01291-6

Cite this

@article{13da833cdfef41ccbc89f205efc42d92,

title = "On fractional diffusion equation with noise perturbation",

abstract = "The stochastic time-fractional diffusion equation can be accounted for a logical description of models with subdiffusion. This work is dedicated to the study of existence and uniqueness of the solution of stochastic time-fractional diffusion equation perturbed with a nonlinear source term. The method of Faedo–Galerkin approximations is employed in order to arrive at the estimate and to establish existence of solution by assuming that the noise coefficient and the nonlinear source term satisfy the required assumptions like Lipschitz continuity and linear growth condition.",

keywords = "Stochastic fractional differential equations, Existence of solutions, Time-fractional PDE, Diffusion equation",

author = "{Coimbatore Sankarakrishnan}, Sridevi and Rajendran, {Mabel Lizzy} and Suvinthra Murugan",

year = "2023",

month = sep,

day = "14",

doi = "10.1007/s40435-023-01291-6",

language = "English",

journal = "International Journal of Dynamics and Control",

issn = "2195-268X",

publisher = "Springer",

}

TY - JOUR

T1 - On fractional diffusion equation with noise perturbation

AU - Coimbatore Sankarakrishnan, Sridevi

AU - Rajendran, Mabel Lizzy

AU - Murugan, Suvinthra

PY - 2023/9/14

Y1 - 2023/9/14

N2 - The stochastic time-fractional diffusion equation can be accounted for a logical description of models with subdiffusion. This work is dedicated to the study of existence and uniqueness of the solution of stochastic time-fractional diffusion equation perturbed with a nonlinear source term. The method of Faedo–Galerkin approximations is employed in order to arrive at the estimate and to establish existence of solution by assuming that the noise coefficient and the nonlinear source term satisfy the required assumptions like Lipschitz continuity and linear growth condition.

AB - The stochastic time-fractional diffusion equation can be accounted for a logical description of models with subdiffusion. This work is dedicated to the study of existence and uniqueness of the solution of stochastic time-fractional diffusion equation perturbed with a nonlinear source term. The method of Faedo–Galerkin approximations is employed in order to arrive at the estimate and to establish existence of solution by assuming that the noise coefficient and the nonlinear source term satisfy the required assumptions like Lipschitz continuity and linear growth condition.

KW - Stochastic fractional differential equations

KW - Existence of solutions

KW - Time-fractional PDE

KW - Diffusion equation

U2 - 10.1007/s40435-023-01291-6

DO - 10.1007/s40435-023-01291-6

M3 - Article

SN - 2195-268X

JO - International Journal of Dynamics and Control

JF - International Journal of Dynamics and Control

ER -

On fractional diffusion equation with noise perturbation

Abstract

Keywords

Access to Document

Fingerprint

Cite this