Non-asymptotic Disturbances Estimation for Time Fractional Advection-Dispersion Equation

被引：0

作者：

Ghaffour, Lilia ^{[1
]}

Laleg-Kirati, Taous-Meriem ^{[1
,2
]}

机构：

[1] King Abdullah Univ Sci & Technol KAUST, Comp Elect & Math Sci & Engn Div CEMSE, Thuwal, Saudi Arabia

[2] Natl Inst Res Digital Sci & Technol INRIA, Le Chesnay Rocquencourt, France

来源：

IFAC PAPERSONLINE | 2023年 / 56卷 / 02期

关键词：

ORDER; SYSTEMS; DIFFERENTIATION; STABILIZATION; INTEGRATION;

D O I：

10.1016/j.ifacol.2023.10.1472

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, a method for disturbance estimation for a class of non-homogeneous time fractional advection dispersion equation with general boundary conditions, is proposed. The disturbances are considered to affect the boundary conditions or the measurements or both. The proposed method is based on modulating functions. Numerical simulations are presented to illustrate the performance of the approach.

引用

页码：3296 / 3301

页数：6

共 32 条

[21] Exact and numerical solutions of time-fractional advection-diffusion equation with a nonlinear source term by means of the Lie symmetries [J].

Jannelli, Alessandra ;

Ruggieri, Marianna ;

Speciale, Maria Paola .

NONLINEAR DYNAMICS, 2018, 92 (02) :543-555

[22] Finite Difference and Chebyshev Collocation for Time-Fractional and Riesz Space Distributed-Order Advection-Diffusion Equation with Time-Delay [J].

Wang, Fang ;

Chen, Yuxue ;

Liu, Yuting .

FRACTAL AND FRACTIONAL, 2024, 8 (12)

[23] ASYMPTOTIC STABILITY OF NON-MONOTONE TRAVELING WAVES FOR TIME-DELAYED NONLOCAL DISPERSION EQUATIONS [J].

Huang, Rui ;

Mei, Ming ;

Zhang, Kaijun ;

Zhang, Qifeng .

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2016, 36 (03) :1331-1353

[24] Finite difference spectral approximation for the time-space fractional telegraph equation and its parameter estimation [J].

Yang, Xiu ;

Jiang, Xiaoyun ;

Zhang, Hui .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (18) :6475-6489

[25] NUMERICAL TREATMENT OF THE SPACE-TIME FRACTAL-FRACTIONAL MODEL OF NONLINEAR ADVECTION-DIFFUSION-REACTION EQUATION THROUGH THE BERNSTEIN POLYNOMIALS [J].

Heydari, M. H. ;

Avazzadeh, Z. ;

Yang, Y. .

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2020, 28 (08)

[26] Active disturbance rejection control to stabilization of coupled delayed time fractional-order reaction-advection-diffusion systems with boundary disturbances and spatially varying coefficients [J].

Chen, Juan ;

Zhou, Hua-Cheng ;

Zhuang, Bo ;

Xu, Ming-Hua .

CHAOS SOLITONS & FRACTALS, 2023, 170

[27] Controllability results of fractional integro-differential equation with non-instantaneous impulses on time scales [J].

Kumar, Vipin ;

Malik, Muslim .

IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2021, 38 (01) :211-231

[28] Asymptotic Behavior for a Viscoelastic Wave Equation With Acoustic and Fractional Conditions Combined by Nonlinear Time-Varying Delay in Boundary Feedback in the Presence of Logarithmic Source Term [J].

Choucha, Abdelbaki ;

Boulaaras, Salah ;

Jan, Rashid ;

Jain, Shilpi .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2025,

[29] Non-classical Lie symmetry and conservation laws of the nonlinear time-fractional Kundu-Eckhaus (KE) equation [J].

Hashemi, Mir Sajjad ;

Haji-Badali, Ali ;

Alizadeh, Farzaneh .

PRAMANA-JOURNAL OF PHYSICS, 2021, 95 (03)

[30] Analytical approach for travelling wave solution of non-linear fifth-order time-fractional Korteweg-De Vries equation [J].

Sherriffe, Delmar ;

Behera, Diptiranjan .

PRAMANA-JOURNAL OF PHYSICS, 2022, 96 (02)

← 1 2 3 4 →