Approximate solution for a 2-D fractional differential equation with discrete random noise

Nguyen Huy Tuan; Dumitru Baleanu; Tran Ngoc Thach; Donal O'Regan; Nguyen Huu Can

doi:10.1016/j.chaos.2020.109650

Approximate solution for a 2-D fractional differential equation with discrete random noise

Nguyen Huy Tuan
, Dumitru Baleanu
, Tran Ngoc Thach
, Donal O'Regan
, Nguyen Huu Can

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

15 Citations (Scopus)

Abstract

We study a boundary value problem for a 2-D fractional differential equation (FDE) with random noise. This problem is not well-posed. Hence, we use truncated regularization method to establish regularized solutions for the such problem. Finally, the convergence rate of this approximate solution and a numerical example are investigated.

Original language	English
Article number	109650
Journal	Chaos, Solitons and Fractals
Volume	133
DOIs	https://doi.org/10.1016/j.chaos.2020.109650
Publication status	Published - Apr 2020

Keywords

Fractional differential equation
Random noise
Regularization

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10.1016/j.chaos.2020.109650

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title = "Approximate solution for a 2-D fractional differential equation with discrete random noise",

abstract = "We study a boundary value problem for a 2-D fractional differential equation (FDE) with random noise. This problem is not well-posed. Hence, we use truncated regularization method to establish regularized solutions for the such problem. Finally, the convergence rate of this approximate solution and a numerical example are investigated.",

keywords = "Fractional differential equation, Random noise, Regularization",

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AU - Tuan, Nguyen Huy

AU - Baleanu, Dumitru

AU - Thach, Tran Ngoc

AU - O'Regan, Donal

AU - Can, Nguyen Huu

PY - 2020/4

Y1 - 2020/4

N2 - We study a boundary value problem for a 2-D fractional differential equation (FDE) with random noise. This problem is not well-posed. Hence, we use truncated regularization method to establish regularized solutions for the such problem. Finally, the convergence rate of this approximate solution and a numerical example are investigated.

AB - We study a boundary value problem for a 2-D fractional differential equation (FDE) with random noise. This problem is not well-posed. Hence, we use truncated regularization method to establish regularized solutions for the such problem. Finally, the convergence rate of this approximate solution and a numerical example are investigated.

KW - Fractional differential equation

KW - Random noise

KW - Regularization

UR - https://www.scopus.com/pages/publications/85078780812

U2 - 10.1016/j.chaos.2020.109650

DO - 10.1016/j.chaos.2020.109650

M3 - Article

SN - 0960-0779

VL - 133

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

M1 - 109650

ER -

Approximate solution for a 2-D fractional differential equation with discrete random noise

Abstract

Keywords

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