Non-asymptotic Disturbances Estimation for Time Fractional Advection-Dispersion Equation
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作者:
Ghaffour, Lilia
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King Abdullah Univ Sci & Technol KAUST, Comp Elect & Math Sci & Engn Div CEMSE, Thuwal, Saudi ArabiaKing Abdullah Univ Sci & Technol KAUST, Comp Elect & Math Sci & Engn Div CEMSE, Thuwal, Saudi Arabia
Ghaffour, Lilia
[1
]
Laleg-Kirati, Taous-Meriem
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King Abdullah Univ Sci & Technol KAUST, Comp Elect & Math Sci & Engn Div CEMSE, Thuwal, Saudi Arabia
Natl Inst Res Digital Sci & Technol INRIA, Le Chesnay Rocquencourt, FranceKing Abdullah Univ Sci & Technol KAUST, Comp Elect & Math Sci & Engn Div CEMSE, Thuwal, Saudi Arabia
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
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.