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A regularization method for determining the caputo derivative of order 𝛼 ∈ (1, 2) in 𝐿∞[0, 1]

This paper proposes a regularization method for determining the Caputo derivative of order 𝛼 ∈ (1, 2) from noisy data in 𝐿∞[0, 1]. The exact data function 𝑞 ∈ 𝐶4[0, 1] is assumed to satisfy 𝑞(0)...

Author: ANH NGUYỄN THẾ

Keyword: Caputo fractional derivative ill-posed problems regularization method a priori parameter choice rule a posteriori parameter choice rules error estimates.

Vinh University journal of science

Tạp chí khoa học Trường Đại học Vinh

ISSN: 1859 - 2228

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License: 163/GP-BTTTT issued by the Minister of Information and Communications on May 10, 2023

Open Access License: Creative Commons CC BY-NC 4.0

 

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